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General differentiation rules

Linearity

Product rule

Reciprocal rule

Derivative of inverse function

for any differentiable function f of a real argument and with real values, when the indicated compositions and inverses exist.

Generalized power rule

Derivatives of simple

Derivatives of exponential and logarithmic functions

Derivatives of trigonometric functions

 (\sec x)' = \sec x \tan x \,

Derivatives of hyperbolic functions

( \sinh x )'= \cosh x = \frac{e^x + e^{-x}}{2}

Derivatives of special functions

Gamma function

"Chance favors the prepared mind." - Louis Pasteur