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Single Variable Calculus

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Moderate

Derivative of Square Root of Inverse Tangent Function

SVCALC-SXKOVJ

Find the derivative of the function:

$$f\left( x \right) =\sqrt { \arctan { x } } $$

Select ALL that apply.

A

$\cfrac{1}{2 \sqrt{\arctan(x)}}$

B

$\cfrac{1}{2} \sqrt{\arctan(x)}$

C

$\cfrac{1}{2(1+x^2)\sqrt{arctan(x)}}$

D

$\cfrac{1}{2(1+x^2)(arctan(x))^{1/2}}$