If g(x) is the inverse of f(x) an d f'(x)`=(1)/(1+x^(3))`, show that g'(x)`=1+[g(x)]^(3)`.

If g (x) is the inverse of f (x) and f(x)=(1)/(1+x^(3)) , then find g(x) .

If phi(x) is the inverse of g(x)and g'(x)= 1/(1+x^3) ,show that phi'(x)=1+[phi(x)]^3

It g(x) is the inverse of f(x) and f(X) = (1+x^3)^-1 , show that g'(x) = 1/(1 + {g(x)}^3) .

If g(x) is the inverse function and f'(x) = sin x then prove that g'(x) = cosec [g(x)]

Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3) . Then find g'(x) in terms of g(x).

If g is the inverse of a function f and f'(x)=(1)/(1+x^(5)) , then g'(x) is equal to-

If the inverse function of y=f(x) is x=g(y) and f'(x)=(1)/(1+x^(2)) , then prove that g'(x)=1+[g(x)]^(2) .

If g is the inverse of a function f and f(x)=1/(1+x^5) , Then g'(x) i equal to :

If f(x)=x+tanx and g(x) is the inverse of f(x), then differentiation of g(x) is (a) 1/(1+[g(x)-x]^2) (b) 1/(2-[g(x)+x]^2) (c) 1/(2+[g(x)-x]^2) (d) none of these

If g is the inverse of a function f and f ' ( x ) = 1 / (1 + x^ n , Then g ' ( x ) i equal to