A) \[1\]
B) \[5\]
C) \[\frac{1}{5}\]
D) \[\frac{2}{5}\]
Correct Answer: C
Solution :
\[\because \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,f(g(x)=x\] Differentiating w.r.t. x \[f'(g(x).g'(x)=1\] Put \[x=a\] \[f'(g(a)\cdot g'(a)=1\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,f'(b)\cdot 5=1\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,f'(b)=\frac{1}{5}\]You need to login to perform this action.
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