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Derivative of Inverse Trig and Power Function

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ddx(cos1x+4x32)=\frac{d}{dx}\left(\cos^{-1}x+4x^{\frac{3}{2}}\right)=

A

11+x2+2x\frac{1}{1+x^2}+\frac{2}{\sqrt{x}}

B

11x2+6x\frac{1}{\sqrt{1-x^2}}+6\sqrt{x}

C

11+x2+6x-\frac{1}{1+x^2}+\frac{6}{\sqrt{x}}

D

11x2+6x-\frac{1}{\sqrt{1-x^2}}+6\sqrt{x}

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