Explain why the slope of the secant line through and tends to the slope of the…

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

Problem

Explain why the slope of the secant line through

(a,f(a))

and

(a+h,f(a+h))

tends to the slope of the tangent at

x=a

h

approaches

0

Related theory

Derivative Foundations
Differentiation from first principles
Derivatives
Limits and Derivatives

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