Derivative of Tan x
The derivative of tan(X)
Since tan(X)=sin(X)/cos(X), we have sin(X) as the function u(X) and cos(X) as the
function v(X).
Putting these into the formula
d[uv]/dX=(vdu/dX - udv/dX)/v2
we get
d[tan(X)]/dX = (cos(X)cos(X) + sin(X)sin(X))/cos2(X)
But on the top we have sin2(X)+ cos2(X), which is always 1.
So our...
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Derivative of Tan x The derivative of tan(X) Since tan(X)=sin(X)/cos(X), we have sin(X) as the function u(X) and cos(X) as the function v(X). Putting these into the formula d[uv]/dX=(vdu/dX - udv/dX)/v2 we get d[tan(X)]/dX = (cos(X)cos(X) + sin(X)sin(X))/cos2(X) But on the top we have sin2(X)+ cos2(X), which is always 1. So our result simplifies to d[tan(X)]/dX = 1/cos2(X). But that is sec2(X), since sec(X)=1/cos(X). So the derivative of tan(X) is sec2(X). Know More About Distributed Graph Coloring Derivative of Tan x Tutorcircle. com Page No. : 1/4
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Free Math Help
Math Lessons - Looking to understand a subject better, or maybe you don t
understand what your textbook is trying to tell you? We have a collection of algebra
and geometry lessons that you can view online right now.
Ask your question on our math help message board.
Just be sure to explain what
you ve tried to do and...
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Free Math Help Math Lessons - Looking to understand a subject better, or maybe you don t understand what your textbook is trying to tell you? We have a collection of algebra and geometry lessons that you can view online right now. Ask your question on our math help message board. Just be sure to explain what you ve tried to do and where you re stuck, and a friendly volunteer may try to assist you! Algebra Lessons Browse our collection of algebra lessons , or some video lessons provided by various partners on the right. If you need more algebra help, try the seach menu at the top. Geometry Help If you need help with geometry you may be interested in viewing a geometry lesson Know More About Find the domain of a composite function Free Math Help Tutorcircle. com Page No. : 1/4
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Quadratic Factoring Calculator
Factoring different polynomials could be really hard and tough task, but… not
anymore! In the age of computers, everybody can use them for anything, including
factoring polynomials like this one for instance: f(x)=ax8-bx5+cx4-45x-78.
Here is a
nice:
FACTORING POLYNOMIALS CALCULATOR
Just enter your...
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Quadratic Factoring Calculator Factoring different polynomials could be really hard and tough task, but… not anymore! In the age of computers, everybody can use them for anything, including factoring polynomials like this one for instance: f(x)=ax8-bx5+cx4-45x-78. Here is a nice: FACTORING POLYNOMIALS CALCULATOR Just enter your function ( f(x)= ) here in the form of: ax^8+bx^5+cx^4+45x-78, where a,b,c,d,…n are real numbers. Then press the button and you will see your function primarily factored. Quadratic Equation Enter the coefficients for the Ax2 + Bx + C = 0 equation and Quadratic Equation will output the solutions (if they are not imaginary). If A=0, the equation is not quadratic. Know More About Absolute value inequality Quadratic Factoring Calculator Tutorcircle. com Page No. : 1/4
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How to Solve Mathematical Induction
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How to Solve Mathematical Induction
One of the most important tasks in mathematics is to discover and characterize regular
patterns or sequences.
The main mathematical tool we use to prove statements about
sequences is induction.
Induction is a very important...
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How to Solve Mathematical Induction Tutorcircle. com Page No. : 1/4 How to Solve Mathematical Induction One of the most important tasks in mathematics is to discover and characterize regular patterns or sequences. The main mathematical tool we use to prove statements about sequences is induction. Induction is a very important tool in computer science for several reasons, one of which is the fact that a characteristic of most programs is repetition of a sequence of statements. To illustrate how induction works, imagine that you are climbing an infinitely high ladder. How do you know whether you will be able to reach an arbitrarily high rung? Suppose you make the following two assertions about your climbing abilities: 1) I can definitely reach the first rung. 2) Once I get to any rung, I can always climb to the next one up. If both statements are true, then by statement 1 you can get to the first one, and by statement 2, you can get to the second. By statement 2 again, you can
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Kinetic and Potential Energy
In linguistics, the potential mood
The mathematical study of potentials is known as potential theory; it is the study of harmonic
functions on manifolds.
This mathematical formulation arises from the fact that, in physics, the
scalar potential is irrotational, and thus has a vanishing Laplacian — the...
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Kinetic and Potential Energy In linguistics, the potential mood The mathematical study of potentials is known as potential theory; it is the study of harmonic functions on manifolds. This mathematical formulation arises from the fact that, in physics, the scalar potential is irrotational, and thus has a vanishing Laplacian — the very definition of a harmonic function. In physics, a potential may refer to the scalar potential or to the vector potential. In either case, it is a field defined in space, from which many important physical properties may be derived. Leading examples are the gravitational potential and the electric potential, from which the motion of gravitating or electrically charged bodies may be obtained. Specific forces have associated potentials, including the Coulomb potential, the van der Waals potential, the Lennard-Jones potential and the Yukawa potential. In electrochemistry there are Galvani potential and Volta potential. In Thermodynamics potential refers
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Prime Number Calculator
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Prime Number Calculator
Prime Numbers Generator and Checker (a.
k.
a prime number calculator) supports following
operations on natural numbers or expressions with + - * / ^ ! operators that evaluate to natural
numbers: Check - determines if the given number is prime, Find...
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Prime Number Calculator Tutorcircle. com Page No. : 1/4 Prime Number Calculator Prime Numbers Generator and Checker (a. k. a prime number calculator) supports following operations on natural numbers or expressions with + - * / ^ ! operators that evaluate to natural numbers: Check - determines if the given number is prime, Find next - finds the smallest prime number greater than the provided number, Find previous - finds the largest prime number smaller than the given number. Prime number is a natural number with exactly two distinct natural number divisors: 1 and itself. Natural number is a positive integer number. Prime numbers are positive, non-zero numbers that have exactly two factors -- no more, no less. Note: There is a limit to how big of a number you can check, depending on your browser, and operating system. When calculating prime numbers larger than 99999999999999 be sure to check if the calculator changed your number. Prime Number Calculation Dynamically Calculate P
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Kinetic Energy Equation
Kinetic energy is the energy of motion.
An object that has motion - whether it is vertical or
horizontal motion - has kinetic energy.
There are many forms of kinetic energy - vibrational
(the energy due to vibrational motion), rotational (the energy due to rotational motion), and
translational (the energy due...
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Kinetic Energy Equation Kinetic energy is the energy of motion. An object that has motion - whether it is vertical or horizontal motion - has kinetic energy. There are many forms of kinetic energy - vibrational (the energy due to vibrational motion), rotational (the energy due to rotational motion), and translational (the energy due to motion from one location to another). To keep matters simple, we will focus upon translational kinetic energy. The amount of translational kinetic energy (from here on, the phrase kinetic energy will refer to translational kinetic energy) that an object has depends upon two variables: the mass (m) of the object and the speed (v) of the object. The following equation is used to represent the kinetic energy (KE) of an object. This equation reveals that the kinetic energy of an object is directly proportional to the square of its speed. That means that for a twofold increase in speed, the kinetic energy will increase by a factor of four. For a three
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Sets and Functions Worksheet
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Sets and Functions Worksheet
Worksheet Functions
EasyFitXL makes a number of new high-performance worksheet functions available to Excel
users.
These functions can be applied in any worksheet on a computer with a licensed copy of
EasyFit installed.
Note for Excel...
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Sets and Functions Worksheet Tutorcircle. com Page No. : 1/4 Sets and Functions Worksheet Worksheet Functions EasyFitXL makes a number of new high-performance worksheet functions available to Excel users. These functions can be applied in any worksheet on a computer with a licensed copy of EasyFit installed. Note for Excel 2010 and 2007 users: EasyFitXL supports the multi-threaded calculation feature of the latest Excel versions, enabling you to decrease the calculation times on multicore computers. Distribution Fitting The DistFit(Distribution;Data;[Options]) function lets you estimate the parameters of a specified distribution. This function accepts three arguments: 1. Distribution is the code name of the distribution you want to fit to your data (e. g. "Weibull"); 2. Data is the input data set you want to analyze — this can be either a cell range reference (A1:C10) or an array ({1, 4. 5, 7, 3. 2, 6}); Know More About :- Points of Tangency
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Potential and Kinetic Energy
All energy can be in one of two states: potential energy or kinetic energy.
Energy can be transferred from potential to kinetic and between objects.
Potential energy is stored energy--energy ready to go.
A lawn mower filled with gasoline, a
car on top of a hill, and students waiting to go home from...
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Potential and Kinetic Energy All energy can be in one of two states: potential energy or kinetic energy. Energy can be transferred from potential to kinetic and between objects. Potential energy is stored energy--energy ready to go. A lawn mower filled with gasoline, a car on top of a hill, and students waiting to go home from school are all examples of potential energy. Gravitational potential energy is the energy possessed by a body because of its elevation (height) relative to a lower elevation, that is, the energy that could be obtained by letting it fall to a lower elevation. For example, water at the top of a waterfall or stored behind a dam at a hydroelectric plant has gravitational potential energy. A roller coaster train going down hill represents merely a complex case as a body is descending an inclined plane. Newton s first two laws relate force and acceleration, which are key concepts in roller coaster physics. At amusement parks, Newton s laws can be applied to eve
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Specific Heat of Iron
Specific heat is another physical property of matter.
All matter has a temperature associated
with it.
The temperature of matter is a direct measure of the motion of the molecules: The
greater the motion the higher the temperature:
Motion requires energy: The more energy matter has the higher temperature it will...
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Specific Heat of Iron Specific heat is another physical property of matter. All matter has a temperature associated with it. The temperature of matter is a direct measure of the motion of the molecules: The greater the motion the higher the temperature: Motion requires energy: The more energy matter has the higher temperature it will also have. Typicall this energy is supplied by heat. Heat loss or gain by matter is equivalent energy loss or gain. With the observation above understood we con now ask the following question: by how much will the temperature of an object increase or decrease by the gain or loss of heat energy? The answer is given by the specific heat (S) of the object. The specific heat of an object is defined in the following way: Take an object of mass m, put in x amount of heat and carefully note the temperature rise, then S is given by In this definition mass is usually in either grams or kilograms and temperatture is either in kelvin or degres Celcius. Note th
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Equation of Parabola
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Equation of Parabola
This is an applet to explore the equation of a parabola and its properties.
The equation used is
the standard equation that has the form
(y - k)2 = 4a(x – h)
where h and k are the x- and y-coordinates of the vertex of the parabola and a is a non zero...
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Equation of Parabola Tutorcircle. com Page No. : 1/4 Equation of Parabola This is an applet to explore the equation of a parabola and its properties. The equation used is the standard equation that has the form (y - k)2 = 4a(x – h) where h and k are the x- and y-coordinates of the vertex of the parabola and a is a non zero real number (in this investigation we consider only cases with positive a). For the definition and construction of a parabola Go here. Examples of applications of the parabolic shape as Parabolic Reflectors and Antennas and a tutorial on how to Find The Focus of Parabolic Dish Antennas and on How Parabolic Dish Antennas work? are included in this site. The exploration is carried out by changing the parameters h, k and a included in the above equation. Follow the steps in the tutorial below. For similar tutorials on circle , Ellipse and the hyperbola can be found in this site. Know More About :- How to Multiply Trinomials
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Equivalence Relations
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Equivalence Relations
A relation on A is an equivalence relation if it is reflexive, symmetric and transitive.
An
example of such is equality on a set.
One might think of equivalence as a way to glob together
elements that can be considered the same relative to a...
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Equivalence Relations Tutorcircle. com Page No. : 1/4 Equivalence Relations A relation on A is an equivalence relation if it is reflexive, symmetric and transitive. An example of such is equality on a set. One might think of equivalence as a way to glob together elements that can be considered the same relative to a property. That is elements become indistinguishable relative to the relation. For example in arithmetic we don t think twice about 1/2 and 2/4 as having the same value but they are different objects. In geometry, similarity of triangles is an equivalence relation. A right angled triangle with legs of length 3 and 4 and hypotenuse of length 5 is not the same as one with lengths 6, 8 and 10. Yet, we think of them as equivalent because the ratios of the corresponding sides are the same. For each , we define the equivalency class containing a to be the set of those elements which are equivalent to a. We denote this set by [a] although you should be aware that there
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Examples of Kinetic Energy
Kinetic energy is the energy of movement.
The higher the velocity or speed,
of an object, the more its kinetic energy.
The heavier the object (its mass),
the higher its kinetic energy.
Examples of kinetic energy :1.
A moving car ;
2.
a moving ball ;
3.
a river flowing ;
4.
a plane in flight ;
5.
an...
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Examples of Kinetic Energy Kinetic energy is the energy of movement. The higher the velocity or speed, of an object, the more its kinetic energy. The heavier the object (its mass), the higher its kinetic energy. Examples of kinetic energy :1. A moving car ; 2. a moving ball ; 3. a river flowing ; 4. a plane in flight ; 5. an athlete running ; 6. a satellite in orbit ; 7. the flying object to wack one s hand or rear ; Anything that you can think of, that is moving, has kinetic energy. Other forms of energy is energy of height (potential energy), and heat energy. There are more. Energy can not be made or destroyed. It can only go from one form into another form. When the teacher chase you in mean mode, you run by using your body s chemical energy to become kinetic energy of movement. Examples of Kinetic Energy Know More About :- Specific Heat of Lead Math. Tutorvista. com Page No. :- 1/4
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Distributive Property Worksheets
Hello friends today I am going to tell you some of the basic concept behind
Distributive property.
Here is one distributive property worksheets which helps you to
fasten your learning and solving math questions.
The distributive property worksheets comes with various question including particular...
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Distributive Property Worksheets Hello friends today I am going to tell you some of the basic concept behind Distributive property. Here is one distributive property worksheets which helps you to fasten your learning and solving math questions. The distributive property worksheets comes with various question including particular solution of each solution which further help you to understand the basic concept behind distributive property of mathematics. The given below is the pattern in which Distributive property worksheet is available with complete explanation of problem and correct answer. Q. 1. ( 16 * 8 ) + ( 16 * 12 ) = 16 * (8 + 12 ) is an example of which of the following properties ? (a) Commutative (b) Associative (c) Closure (d) none of these Know More About Properties Of Rational Numbers With Examples Distributive Property Worksheets Tutorcircle. com Page No. : 1/4
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How to do trigonometry
In mathematics, trigonometry is most popularly known for the concept of its
measurement.
Trigonometry is most widely used in the concept of math’s field like in
Fourier series and Fourier transform we required the concept of trigonometry to solve
the problems.
In mathematics, trigonometry is a concept which...
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How to do trigonometry In mathematics, trigonometry is most popularly known for the concept of its measurement. Trigonometry is most widely used in the concept of math’s field like in Fourier series and Fourier transform we required the concept of trigonometry to solve the problems. In mathematics, trigonometry is a concept which is formed by the two Greek words; these are ‘Trigonon’ and ‘Metron’. The word “trigonon’ refers to the word triangle and the Metron word refers to the measure of the triangle. In trigonometry we generally study the trigonometry function that helps in understanding the concept of mathematics to solve the problems. The concept of trigonometry formally related to the field of geometry. The Concept of trigonometry is used for study the measurement of triangle and finds the relationship between the sides of the triangle and angles of the triangle. At that time question arises in our mind that how to do trigonometry in mathematics? In the trigonometry we stud
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List Of Rational Numbers
In mathematics we use many numbers for making the calculations.
Like rational,
irrational, integers and whole numbers.
The rational numbers can be represented in the form of x / y where x and y are the
integers and the result of x / y is also rational number.
Below are the list of rational
numbers : 2 / 5 =...
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List Of Rational Numbers In mathematics we use many numbers for making the calculations. Like rational, irrational, integers and whole numbers. The rational numbers can be represented in the form of x / y where x and y are the integers and the result of x / y is also rational number. Below are the list of rational numbers : 2 / 5 = 0. 40 terminating decimal so it is a rational number. 9 / 5 = 1. 8 terminating decimal so it is a rational number 3 / 8 = 0. 375 terminating decimal so it is a rational number. 22 / 7 = pie s value not exact, so it is rational number. 0 can be written in fraction form such as 0 / 1. Know More About Longhand Subtraction List Of Rational Numbers Tutorcircle. com Page No. : 1/5
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Properties Of Rational Numbers
We will discuss different properties of rational numbers in this session.
Rational
numbers are the numbers which can be expressed in the form of p/q, where p and q
are the integers and q in not equal to zero.
Here we will take the properties of rational numbers:
1.
Closure property: We mean by closure...
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Properties Of Rational Numbers We will discuss different properties of rational numbers in this session. Rational numbers are the numbers which can be expressed in the form of p/q, where p and q are the integers and q in not equal to zero. Here we will take the properties of rational numbers: 1. Closure property: We mean by closure property that if there are two rational numbers, then Closure property of addition holds true, which means that the sum of two rational numbers is also a rational number. Closure property of subtraction holds true, which means that if there exist two rational numbers, then the difference of the two rational numbers is also a rational number. Closure property of multiplication holds true, which means that if there exist two Know More About Left And Right Hand Limits Properties Of Rational Numbers Tutorcircle. com Page No. : 1/5
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Real Numbers Examples
Real Numbers are a set of all numbers ‘x’ such that ‘x’ relates to a point on the
number line.
The group of real numbers comprises of entire set of the rational
numbers as well as the irrational numbers.
To understand the real numbers
examples, consider given set S = 3 / 61, 28, - √ 3, - 31, 0, 1.
7, -...
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Real Numbers Examples Real Numbers are a set of all numbers ‘x’ such that ‘x’ relates to a point on the number line. The group of real numbers comprises of entire set of the rational numbers as well as the irrational numbers. To understand the real numbers examples, consider given set S = 3 / 61, 28, - √ 3, - 31, 0, 1. 7, - 612, 8, - 5 / 4, √ 16, 5 ½, ∏. Now, make a list of all the constituents of the set S that belong to the set of: a) Integers, b) Whole numbers, c) Natural numbers, d) Irrational numbers, e) Irrational numbers, and, Know More About How To Solve For A Rational Number Real Numbers Examples Tutorcircle. com Page No. : 1/5
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