JEE Main | 2014Set, Relation and FunctionMedium

Question

If g is the inverse of a function f and f′(x) = , then g′(x) is equal to

Options

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

Solution

f′(x) = = f(g(x)) = x → f′(g(x)) g′(x) = 1
g′(x) = = 1 + (g(x))5

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