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Differentiation of Inverse Trig and Power Functions

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Find the derivative: ddx(sin⁡−1x−6x54)\frac{d}{dx}\left(\sin^{-1}x-6x^{\frac{5}{4}}\right)

A

11+x2−152x4\frac{1}{1+x^2}-\frac{15}{2\sqrt[4]{x}}

B

−11−x2−152x4-\frac{1}{\sqrt{1-x^2}}-\frac{15}{2\sqrt[4]{x}}

C

11−x2−152x4\frac{1}{\sqrt{1-x^2}}-\frac{15}{2\sqrt[4]{x}}

D

11−x2−152x4\frac{1}{\sqrt{1-x^2}}-\frac{15}{2}\sqrt[4]{x}

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