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Differential calculus - 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)
Exponential and logarithmic functions
Trigonometric functions
Inverse trigonometric functions
f (x)
f (x)
Hyperbolic functions
Inverse hyperbolic functions
Functions of  (x2 ± a2 )
 
 
 
 
 
 
 
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