FUNCIÓN FUNCIÓN DERIVADA FUNCIÓN FUNCIÓN DERIVADA
a 0 xsen xcos
x 1 usen ucos u
2
x 2x xcos senx−
m
x 1m
xm −
⋅ ucos senu u−
)x(g)x(f + )x( g)x( f + tgx xtg1
xcos
1 2
2
+=
k.
f(x) (x)k.
f tgu
ucos
u
2
)x(g)x(f ⋅ )x( g)x(f)x(g)x( f ⋅+⋅...
More
FUNCIÓN FUNCIÓN DERIVADA FUNCIÓN FUNCIÓN DERIVADA
a 0 xsen xcos
x 1 usen ucos u
2
x 2x xcos senx−
m
x 1m
xm −
⋅ ucos senu u−
)x(g)x(f + )x( g)x( f + tgx xtg1
xcos
1 2
2
+=
k.
f(x) (x)k.
f tgu
ucos
u
2
)x(g)x(f ⋅ )x( g)x(f)x(g)x( f ⋅+⋅ gxcot )xgcot1(
xsen
1 2
2
+−=
−
)x(g
)x(f
)x(g
)x( g)x(f)x(g)x( f
2
⋅−⋅
ugcot u)ugcot1(
usen
u 2
2
⋅+−=
−
)x(f
1
)x(f
)x( f
2
−
xsec xsecxtg ⋅
( ) )x(gf o ( )( ) ( )x gxg f ⋅ usec usecutg u ⋅⋅
m
u uum 1m
⋅⋅ −
xeccos xeccosxgcot ⋅−
xln
x
1
ueccos ueccosugcot u ⋅⋅−
uln
u
u
xsenarc
2
x1
1
−
aln
xln
xlga =
alnx
1
usenarc
2
u1
u
−
ulga
alnu
u
xcosarc
2
x1
1
−
−
x
e x
e ucosarc
2
u1
u
−
−
u
e u
e u xtgarc 2
x1
1
+
x
a aln.
ax utgarc 2
u1
u
+
u
a ualn.
au
xctgarc 2
x1
1
+
−
v
u ⎟
⎠
⎞
⎜
⎝
⎛
+
u
u.
v
uln vuv
uctgarc 2
u1
u
+
−
a,k ,m son constantes u,v,f,g,son funciones de la variable x
TTTAAABBBLLLAAA DDDEEE DDDEEERRRIIIVVVAA
Less