AP® Calculus AB-BC

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Find the 10th Derivative of an Exponential Function

APCALC-JE3G5J

Consider the function given by $f(x)=e^{2x}$. What is the tenth derivative, $f^{(10)} (x)$?

A

$f^{(10)} (x)=e^{2x}$

B

$f^{(10)} (x)=e^{20x}$

C

$f^{(10)} (x)=20e^{2x}$

D

$f^{(10)} (x)=2^{10}e^{2x}$