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AP® Calculus AB-BC

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Difficult

Differentiate Y Respect To Z

APCALC-NRNEMU

The derivative of $\cos ^{ -1 }{ \cfrac { 1-{ x }^{ 2 } }{ 1+{ x }^{ 2 } } } $ with respect to $\cot ^{ -1 }{ \cfrac { 1-3{ x }^{ 2 } }{ 3x-{ x }^{ 3 } } } $ is

A

$\cfrac{1}{2}$

B

$\cfrac{2}{3}$

C

$1$

D

$0$