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Single Variable Calculus

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Easy

Use Rolle's Theorem

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If Rolle's theorem applies, find all points in the interval guaranteed to exist:

$$f(x)=x^{3/2}-x^{1/2} \quad\text{on }[0,1]$$

A

It does not apply

B

$\left\{\cfrac{1}{3}\right\}$

C

$\left\{\cfrac{1}{2}\right\}$

D

$\left\{\cfrac{2}{3}\right\}$