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# sharma deepak  >  My publications

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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... More

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Pub. on August 4th 2012

Pages: 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... More

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Pub. on August 4th 2012

Pages: 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... More

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Pub. on August 4th 2012

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 4

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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... More

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Pub. on July 23rd 2012

Pages: 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... More

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Pub. on May 29th 2012

Pages: 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... More

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Pub. on May 29th 2012

Pages: 4

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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 =... More

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Pub. on May 29th 2012

Pages: 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... More

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Pub. on May 29th 2012

Pages: 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, -... More

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