If `y=f(x)=x^3+x^5` and `g` is the inverse of `f` find `g^(prime)(2)`

If f(x)=x + tan x and f si the inverse of g, then g'(x) equals

If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x) is

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 f (x) = 3x − 5, then inverse of f(x) is

Iff(x)=e^(g(x))a n dg(x)=int_2^x(tdt)/(1+t^4), then find the value of f^(prime)(2)

Let f(x)=int_2^x (dt)/sqrt(1+t^4) and g be the inverse of f . Then, the value of g'(0) is

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals to ........ .

If f(x) = sin x and g(x) = 2x, find fog.

If y=f(x)andx=g(y) are inverse functions of each other, then