Let $f(x)=e^x$, $g(x)=\sin^{-1} x$ and $h(x)=f(g(x))$, then $\frac{h'(x)}{h(x)}$ is equal to

  • A
    $\sin^{-1} x$
  • B
    $\frac{1}{\sqrt{1-x^2}}$
  • C
    $-\frac{1}{\sqrt{1-x^2}}$
  • D
    $e^{\sin^{-1} x}$

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