JEE Main | 2014Set, Relation and FunctionHard
Question
If g is the inverse of a function f and f′(x) = 
, then g′(x) is equal to
, then g′(x) is equal toOptions
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
= f(g(x)) = x → f′(g(x)) g′(x) = 1 g′(x) =
= 1 + (g(x))5Create a free account to view solution
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