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If g is inverse of function f and f`(x) = 1/(1 + x^5) then g`(x) is

If g is inverse of function f and f`(x) = 1/(1 + x^5) then g`(x) is

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2 Answers

Khimraj
3007 Points
3 years ago
g is inverse of function f, then
f(g(x)) = x
differentiating wrt x
f’(g(x))*g’(x) = 1
So g’(x) = 1/f’(g(x)) = 1 + {g(x)}5
Hope it clears. If you like answer then please approve it.
Krish Gupta
askIITians Faculty 82 Points
one year ago
 
g is inverse of function f, then
f(g(x)) = x
differentiating wrt x
f’(g(x))*g’(x) = 1
So g’(x) = 1/f’(g(x)) = 1 + {g(x)}5
Hope it clears. If you like answer then please approve it.

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