For , determine the value of…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For

f(x)=x^{1/3}

, determine the value of

\displaystyle\lim_{x\to0^{+}}\dfrac{f(x)-f(0)}{x}

. (a)

-\infty

(b) +\infty (c)

0

(d) The limit does not exist and is finite.

Related theory

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

Browse the problem library