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 process of finding a …

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 showing you the full …

Feb 13, 2026 · 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 …

It is all about slope! Slope = Change in Y / Change in X. We can find an average slope between two points. But how do we find the slope at a point?

4 days ago · A derivative represents the rate at which something changes—think of it as measuring how fast a quantity is changing at any given moment. In this comprehensive guide, we'll explain what …

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.

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.

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Nov 14, 2025 · These applications include velocity and acceleration in physics, marginal profit functions in business, and growth rates in biology. This limit occurs so frequently that we give this value a …