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 …

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 graph of the function …

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 students.

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.

Dec 31, 2025 · A derivative is a kind of financial contract between two or more parties, the value of which fluctuates based on the price of one or more underlying assets.

Nov 14, 2025 · The derivative of a function is itself a function, so we can find the derivative of a derivative. For example, the derivative of a position function is the rate of change of position, or velocity.