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  1. Derivative - Wikipedia

    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 …

  2. Derivative Calculator • With Steps!

    The Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises.

  3. Derivative | Definition & Facts | Britannica

    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 …

  4. Introduction to Derivatives - Math is Fun

    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 …

  5. Derivative Calculator - Symbolab

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

  6. Derivative - Math.net

    The derivative of a function is the rate of change of the function's output relative to its input value. Given y = f (x), the derivative of f (x), denoted f' (x) (or df (x)/dx), is defined by the following …

  7. 3.2: The Derivative as a Function - Mathematics LibreTexts

    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, …

  8. Understanding Derivatives: A Comprehensive Guide to Their Uses …

    Dec 5, 2025 · A derivative is a securitized contract whose value is dependent upon one or more underlying assets. Its price is determined by fluctuations in that asset.

  9. Derivative Calculator: Step-by-Step Solutions - Wolfram|Alpha

    Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate …

  10. Derivative Calculator - Mathway

    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 …