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Derivative of Inverse Trig and Power Function
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$$\frac{d}{dx}\left(\cos^{-1}x+4x^{\frac{3}{2}}\right)=$$

A

$$\frac{1}{1+x^2}+\frac{2}{\sqrt{x}}$$

B

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

C

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

D

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

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