Identify the condition that the two one-sided limits of the difference quotient as…

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

Problem

Identify the condition that the two one-sided limits of the difference quotient

\dfrac{f(x)-f(a)}{x-a}

x\to a

must satisfy for

f'(a)

to exist.

Related theory

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

Browse the problem library