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

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 …

The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by …

: made up of or marked by derived elements. : something that is obtained from, grows out of, or results from an earlier or more fundamental state or condition.

But with derivatives we use a small difference ... ... then have it shrink towards zero. Let us Find a Derivative! To find the derivative of a function y = f (x) we use the slope formula: And (from the …

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 …

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 …

The derivative of a function is the rate of change of the function's output relative to its input value. Given y = f (x), the derivative of f (x), denoted f' (x) (or df (x)/dx), is defined by the following …

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.

The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line …