Derivative formulas and rules

The process of finding a derivative is called differentiation. Learn here how to find the derivative of the function f(x) with this online calculus course. We will teach you online and for free how to derivate a mathematical function. This online math course also offers a reminder of the 18 derivative rules. You will find as well dozens of exercises with complete detailed solution to develop your math skills.

Symbols used in the derivative formulas

f or f(x), and g or g(x) are both function of x.
k, l and n are three constants that belong to real numbers, in other words:

a is a constant that belongs to real positive number except 1. With math symbolic language:

f '(x) and g '(x) are, respectively, the derivative of f(x) and g(x).
k ' et x ' are, respectively, the derivative of a constant k and the variable x.

The following table shows you the 18 derivative rules and derivative formulas that you must know by heart.

Your are bad at math and you do not know how to derivate the most simple equations or mathematical functions ? Then visit first the basic derivative examples to learn easily and with complete detailed explaination how to calculate the derivative of a mathematical function.

You already know how to apply the derivative rules and you are able to derivate various equations and mathematical functions ? Then go straight to the exercises (and answers).