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