Derivative of an Inverse Function
Let the function $f$ be defined by $f(x) = \sin(x)$. What is the value of $(f^{-1})'\left(\frac{\sqrt{2}}{2}\right)$?
A
$1$
B
$\frac{\sqrt{2}}{2}$
C
$\frac{1}{\sqrt{2}}$
D
$\frac{1}{2}$
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