`f(x)=x^x , x in (0,oo)` and let ` g(x)` be inverse of f(x) , then `g(x)'` must be

if f(x)=x^x,x in (1,infty) and g(x) be inverse function of f(x) then g^(')(x) must be equal to

if f(x)=x^(2)x,x in (1,infty) and g(x) be inverse function of f(x) then g^(')(x) must be equal to

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

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

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

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

Consider a function f(x)=x^(x), AA x in [1, oo) . If g(x) is the inverse function of f(x) , then the value of g'(4) is equal to

Consider a function f(x)=x^(x), AA x in [1, oo) . If g(x) is the inverse function of f(x) , then the value of g'(4) is equal to

If f(x) = x + tan x and g(x) is the inverse of f(x), then g'(x) is equal to

Let f(x)=(1)/(1+x^(2)) and g(x) is the inverse of f(x) ,then find g(x)