Explain in one or two sentences why drawing a tangent to the displacement–time graph…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Explain in one or two sentences why drawing a tangent to the displacement–time graph at an instant gives the instantaneous velocity of the particle at that instant.

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

Browse the problem library