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 …

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.

Result: the derivative of x3 is 3x2 ... f’ (x) = lim Δx→0 f (x+Δx) − f (x) Δx ... dy dx = f (x+dx) − f (x) dx

Dec 12, 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 …

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.

Complete beginner's guide to understanding derivatives in calculus. Learn what derivatives are, how to calculate them, derivative rules, examples, and real-world applications. Perfect for …

Just like a slope tells us the direction a line is going, a derivative value tells us the direction a curve is going at a particular spot. At each point on the graph, the derivative value is the slope …

The Derivative tells us the slope of a function at any point. There are rules we can follow to find many derivatives.