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 …

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.

What is a Derivative? Jow to find derivatives of constants, linear functions, sums, differences, sines, cosines and basic exponential functions.

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 …

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 …

Differentiation techniques are the methods and rules used to find the derivative of a function. These techniques simplify the process of finding derivatives, especially for complex functions.

Jun 6, 2025 · Learn how calculus tracks change using derivatives, with a focus on derivative notation, the limit definition, and core AP® Calculus concepts.

The derivative is used to measure the sensitivity of one variable (dependent variable) with respect to another variable (independent variable). In this article, we are going to discuss what are …

Jun 24, 2024 · What are Derivatives? In simple terms, the derivative of a function measures how the output value of a function changes as the input changes. It is often represented as the …

Explore the fundamentals of derivatives, including types, basic rules, 2nd derivative, implicit differentiation, and derivatives of trigonometric and inverse functions.