Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph

Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation).

The derivative is often described as the instantaneous rate of change, the ratio of the instantaneous change in the dependent variable to that of the independent variable. [1] The process of finding a …

Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and finding the zeros/roots.

On Derivative Rules it is listed as being cos (x) Done. But using the rules can be tricky! Example: what is the derivative of cos (x)sin (x) ? We get a wrong answer if we try to multiply the derivative of cos (x) …

A derivative in calculus is the instantaneous rate of change of a function with respect to another variable. Differentiation is the process of finding the derivative of a function.

Overview The derivative is one of the central ideas in calculus. It provides a precise way to describe how a quantity changes at an instant. If y = f (x), then the derivative f (x) measures the instantaneous rate …

Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate forms.

Oct 18, 2025 · Derivative, in mathematics, the rate of change of a function with respect to a variable. Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function …

For a function to have a derivative at a given point, it must be continuous at that point. A function that is discontinuous at a point has no slope at that point, and therefore no derivative.