Class 12 Mathematics Continuity and Differentiation Differentiation of Exponential and Logarithmic

Medium

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

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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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Class 12 Questions

Class 12

Mathematics Questions

Chapter

Continuity and Differentiation

Subtopic

Differentiation of Exponential and Logarithmic

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