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
f (x)
f (x)
c 0
x 1
xn nx n - 1
Exponential and logarithmic functions
Trigonometric functions
Inverse trigonometric functions
f (x)
f (x)
Hyperbolic functions
Inverse hyperbolic functions
Functions of  (x2 a2 )
Calculus contents C
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