APFIVE Derivative of an Inverse Sine Function
Let $$y = \sin^{-1}(2*x)$$. Compute the derivative $$\frac{dy}{dx}$$ at $$x = \frac{1}{4}$$.
TABLE:
| x | y = \sin^{-1}(2*x) |
|---|---|
| 0.25 | \sin^{-1}(0.5) |
A
$$\frac{4*\sqrt{3}}{3}$$
B
$$\frac{2}{\sqrt{3}}$$
C
$$\frac{2*\sqrt{3}}{3}$$
D
$$\frac{4}{3}$$
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