This function is written ′ and is called the derivative function or the derivative of ⁠ ⁠. The function sometimes has a derivative at most, but not all, points of its domain.

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

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 …

Or sometimes the derivative is written like this (explained on Derivatives as dy/dx): dy dx = f(x+dx) − f(x) dx The process of finding a derivative is called "differentiation".

Jun 13, 2025 · derivative, in mathematics, the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential …

The derivative of a function f(x) in math is denoted by f'(x) and can be contextually interpreted as follows: The derivative of a function at a point is the slope of the tangent drawn to that curve at …

Geometrically, the derivative is the slope of the line tangent to the curve at a point of interest. It is sometimes referred to as the instantaneous rate of change. Typically, we calculate the slope of …

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 …

Apr 7, 2025 · A derivative is a concept in mathematics that measures how a function changes as its input changes. For example: If you're driving a car, the derivative of your position with …

Explore the fundamentals of derivatives, including types, basic rules, 2nd derivative, implicit differentiation, and derivatives of trigonometric and inverse functions.