Derivative of Inverse Sine Function
All of the following statements about the derivative of $$\sin^{-1}(x)$$ are true EXCEPT:
A
The derivative is $$\frac{1}{1-x^2}$$.
B
The correct derivative is $$\frac{1}{\sqrt{1-x^2}}$$.
C
The derivative is defined only for $$|x| < 1$$.
D
Implicit differentiation of $$y=\sin^{-1}(x)$$ leads to the derivative $$dy/dx = 1/\sqrt{1-x^2}$$.
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