Differentiation of Inverse Trig and Power Functions
Find the derivative: $$\frac{d}{dx}\left(\sin^{-1}x-6x^{\frac{5}{4}}\right)$$
A
$$\frac{1}{1+x^2}-\frac{15}{2\sqrt[4]{x}}$$
B
$$-\frac{1}{\sqrt{1-x^2}}-\frac{15}{2\sqrt[4]{x}}$$
C
$$\frac{1}{\sqrt{1-x^2}}-\frac{15}{2\sqrt[4]{x}}$$
D
$$\frac{1}{\sqrt{1-x^2}}-\frac{15}{2}\sqrt[4]{x}$$
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