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

Differentiation means the rate of change of one quantity with respect to another. Learn to find the derivatives, differentiation formulas and understand the properties and apply the derivatives.

To find the derivative of a function y = f (x) we use the slope formula: And (from the diagram) we see that: Now follow these steps: Like this: Example: the function f (x) = x2. The slope formula is: Use f …

Jan 17, 2026 · Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. Differentiation can be carried out by purely algebraic manipulations, using three basic …

The process of finding a derivative is called differentiation. There are multiple different notations for differentiation. Leibniz notation, named after Gottfried Wilhelm Leibniz, is represented as the ratio of …

See how we define the derivative using limits, and learn to find derivatives quickly with the very useful power, product, and quotient rules.

Dec 26, 2025 · Differentiation in mathematics refers to the process of finding the derivative of a function, which involves determining the rate of change of a function with respect to its variables.