The primary operation in differential calculus is finding a derivative. This table lists derivatives of many functions. In the following, f and g are functions of x, and c is a constant with respect to x. The set of real numbers is assumed. These formulas are sufficient to differentiate any elementary function.

Table of contents
1 Rules for differentiation of general functions
2 Derivatives of Simple and Polynomial Functions
3 Derivatives of Exponential and Logarithmic Functions
4 Derivatives of Trigonometric Functions
5 Derivatives of Hyperbolic Functions

Rules for differentiation of general functions

Derivatives of Simple and Polynomial Functions

Derivatives of Exponential and Logarithmic Functions

Derivatives of Trigonometric Functions

Derivatives of Hyperbolic Functions