

Table
of derivatives of elementary functions 
Differentiation
rules 
Table of derivatives 





Table
of derivatives of elementary functions 
Differentiation
rules 
If
u
= f (x) and
v = g (x)
are differentiable functions and c
is a real constant then, 

Chain
rule
6)
[
f (g (x))]′ = f ′
(g
(x)) ·
g
′ (x) 
Differentiating
inverse function, since
f
[ f ^{1}
(x)] = x
then,
using the chain rule 

Differentiating
parametric equations,
if x = x
(t)
and
y
= y (t)
then 

Logarithmic
derivative,
if y
= f
(x)
then,
using the chain rule 


Table
of derivatives of elementary functions 


c 
0 
x 
1 
x^{n} 
nx
^{n }^{}^{
1} 








Exponential and logarithmic functions 








Trigonometric functions 








Inverse
trigonometric functions 











Hyperbolic
functions 








Inverse
hyperbolic functions 








Functions
of (x^{2}
±
a^{2}
) 
























Functions
contents F 



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