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AP® Calculus AB-BC

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Moderate

Derivative of Exponential Function at a Point

APCALC-KFZKHX

A curve has the equation $h(x)=e^{2x}$. Which of the following is equal to $h'(0)$?

A

$\lim \limits_{h \to 0} \cfrac{e^{2h}-1}{h}$

B

$\lim \limits_{x \to 0} \cfrac{e^{2x}}{x}$

C

$\lim \limits_{x \to 0} \cfrac{e^{2(x+h)}-e^{2x}}{h}$

D

$\lim \limits_{h \to 0}\cfrac{e^{2h}-e^2}{h}$