Suppose `f^-1` is the inverse function of a differentiable function f and let `G(x)=1/(f^-1(x))` If `f(3) = 2 and f' (3) =1/9`, find `G ' (2)`.

Let g be the inverse function of a differentiable function f and G (x) =(1)/(g (x)). If f (4) =2 and f '(4) =(1)/(16), then the value of (G'(2))^(2) equals to:

Let g be the inverse function of a differentiable function f and G (x) =(1)/(g (x)). If f (4) =2 and f '(4) =(1)/(16), then the value of (G'(2))^(2) equals to:

Let f be two differentiable function satisfying f(1)=1,f(2)=4, f(3)=9 , then

Let f be two differentiable function satisfying f(1)=1,f(2)=4, f(3)=9 , then

Let f be twice differentiable function satisfying f(1) = 1, f(2) = 4, f(3) =9 then :

(d) Let f:R rarr R be a differentiable bijective function.Suppose g is the inverse function of f such that G(x)=x^(2)g(x). If f(2)=1 and f'(2)=(1)/(2) , then find G'(1) .

Let f:(-1,1)toR be a differentiable function with f(0)=-1 and f'(0)=1 . Let g(x)=[f(2f(x)+2)]^(2) . Then g'(0)=

Let g(x) be the inverse of the function f(x) and f'(x)=(1)/(1+x^(3)) then g'(x) equals

Let g(x) be the inverse of the function f(x), and f'(x)=1/(1+x^3) then g'(x) equals