derivative function

Chinese equivalent: 导函数

derivative function The function f'(x) obtained by taking the derivative of f(x) at every point in its domain.

Syllabus path: Functions › Preliminary Derivatives › Geometric Meaning of Derivative

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CSCA Mathematics Exam Glossary

Definition

derivative function The function f'(x) obtained by taking the derivative of f(x) at every point in its domain.

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Geometric Meaning of Derivative

Geometric Meaning of Derivative 1. Core Concepts Geometric Meaning: The derivative f'(x₀) of a function y = f(x) at x₀ represents the Slope of the Tangent Line to the curve at the point P(x₀, f(x₀)). k(tangent) = f'(x₀) Visual Intuition: Let P be a fixed point and Q be a moving p…

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