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.
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