Let \[f(x)={{e}^{x}}\], \[g(x)={{\sin }^{-1}}x\] and \[h(x)=f(g(x)),\] then \[h'(x)/h(x)=\] [EAMCET 2002]

Let \[f(x)={{e}^{x}}\], \[g(x)={{\sin }^{-1}}x\] and \[h(x)=f(g(x)),\]

1.	Let \[f(x)={{e}^{x}}\], \[g(x)={{\sin }^{-1}}x\] and \[h(x)=f(g(x)),\] then \[h'(x)/h(x)=\] [EAMCET 2002]
A.	\[{{e}^{{{\sin }^{-1}}x}}\]
B.	\[1/\sqrt{1-{{x}^{2}}}\]
C.	\[{{\sin }^{-1}}x\]
D.	\[1/\,(1-{{x}^{2}})\]
Answer» C. \[{{\sin }^{-1}}x\]

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Let \[f(x)={{e}^{x}}\], \[g(x)={{\sin }^{-1}}x\] and \[h(x)=f(g(x)),\] then \[h'(x)/h(x)=\] [EAMCET 2002]

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