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  1. Derivative - Wikipedia

    In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a …

  2. Derivative Calculator - Symbolab

    Symbolab is the best derivative calculator, solving first derivatives, second derivatives, higher order derivatives, derivative at a point, partial derivatives, implicit derivatives, derivatives using …

  3. DERIVATIVE Definition & Meaning - Merriam-Webster

    The meaning of DERIVATIVE is a word formed from another word or base : a word formed by derivation. How to use derivative in a sentence.

  4. Introduction to Derivatives - Math is Fun

    Let us Find a Derivative! To find the derivative of a function y = f(x) we use the slope formula: Slope = Change in Y Change in X = ΔyΔx. And (from the diagram) we see that:

  5. 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. It helps you practice by …

  6. Derivative | Definition & Facts | Britannica

    Jun 13, 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 …

  7. Derivatives - Calculus, Meaning, Interpretation - Cuemath

    A derivative is the rate of change of a function with respect to a variable. The derivative of a function f(x) is denoted by f'(x) and it can be found by using the limit definition lim h→0 (f(x+h) …

  8. Derivative - Math.net

    Geometrically, the derivative is the slope of the line tangent to the curve at a point of interest. It is sometimes referred to as the instantaneous rate of change. Typically, we calculate the slope of …

  9. Derivative Notation and Defining the Derivative: AP® Calculus

    Jun 6, 2025 · The derivative is the instantaneous rate of change of a function. Meanwhile, the average rate of change uses two points on a curve, forming a secant line. However, the …

  10. First and Second Order Derivatives, Formulas and Examples

    Apr 7, 2025 · The First Order Derivative can be explained in terms of Limit as follows. f'(x) = lim x→a f(x) - f(a) / x - a. The other notations of First Order Derivative are given as dy/dx, D(y), …