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AP® Calculus AB-BC

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Calculate the 400th Derivative of a Trigonometric Function

APCALC-NC1ENJ

Consider the function given by $f(x)=\sin x$. What is the 400th derivative $f^{(400)} (x)$?

A

$f^{(400)} (x)=\sin x$

B

$f^{(400)} (x)=-\sin x$

C

$f^{(400)} (x)= \cos x$

D

$f^{(400)} (x)= -\cos x$