Calculus Reference

Special Function Derivatives

Reference formulas for exponential, logarithmic, trigonometric, and inverse-trigonometric derivatives.

Function Families

Function familyRepresentative functionsDerivative reference
Trigonometric$\sin x$, $\cos x$, $\tan x$, and their reciprocalsTrigonometric Derivatives
Exponential and logarithmic$e^x$, $a^x$, and $\ln x$Exponential and Logarithmic Derivatives
Inverse trigonometric$\arcsin x$, $\arccos x$, and $\arctan x$Inverse Trigonometric Derivatives

For any inside expression $u(x)$, pair the relevant formula with the chain rule. For example, $\frac{d}{dx}[\sin(u)]=\cos(u)u'$.