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Question

If g be an inverse function of f and f′(x)=11+x5, then g′(x) will be

A
1+x5
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B
1+{g(x)}5
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C
11+{g(x)}5
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D
5x4
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Solution

The correct option is B 1+{g(x)}5
g is inverse of function F, then
f(g(n))=n
Differentiating wrtn
f1(g(n))g1(n)=1
g1(n)=1f1(g(n))=1+(g(n))5


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