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If $f$ is a differentiable function, then $f'(b)$ is given by which of the following?

I. $\lim \limits_{x \to b} \cfrac{f(b)-f(x)}{b-x}$

II. $\lim \limits_{h \to 0} \cfrac{f(b+h)-f(b)}{h}$

III. $\lim \limits_{h \to 0} \cfrac{f(b+h)-f(b-h)}{2h}$

A

II only.

B

I and II only.

C

II and III only.

D

I, II, and III.

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