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.

We get a wrong answer if we try to multiply the derivative of cos (x) by the derivative of sin (x) ... ! Instead we use the "Product Rule" as explained on the Derivative Rules page.

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.

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 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 …

Apr 4, 2022 · The Definition of the Derivative – In this section we define the derivative, give various notations for the derivative and work a few problems illustrating how to use the …

May 28, 2025 · The derivative measures the rate of change of a function at a point, representing the slope of the tangent line to the curve at that point.

In this chapter, we explore one of the main tools of calculus, the derivative, and show convenient ways to calculate derivatives. We apply these rules to a variety of functions in this chapter so …