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AP® Calculus AB-BC

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Comparing Derivatives Again

APCALC-RBYBUV

For which of the following does:

$$\lim \limits_{h \to 0} \frac{f(x+h)-f(x)}{h}$$

...yield the same result?

I. $f(x)=\tan^{-1} \sqrt{x}$

II. $f(x)=\ln(1+x)$

III. $f(x)=-\cot^{-1} (\sqrt{x})$

A

None

B

I and II only

C

I and III only

D

I, II and III