If `h (x) = e ^(e ^(x)) ` then `(h '(x))/( h(x))`

If f (x) = e ^(x) , g (x) = Sin ^(-1) x and h (x) =f (g (x)), then (h'(x))/(h (x))=

let f(x)=e^(x),g(x)=sin^(-1)x and h(x)=f(g(x)) th e n fin d (h'(x))/(h(x))

If f(x)=e^(x+a),g(x)=x^(b^2)and h(x)=e^(b^2x), find the value of (g[f(x)])/(h(x)).

let f(x)=e^x ,g(x)=sin^(- 1) x and h(x)=f(g(x)) t h e n f i n d (h^(prime)(x))/(h(x))

If f(x)=e^(x+a) , g(x)=x^(b^2) and h(x)=e^(b^2x) ,show that (g[f(x)])/(h(x))=e^(ab^2)

Let f, g, h be real valued functions defined on the interval [0, 1] by f(x) = e^(x^(2)) + e^(-x^(2)) , g(x) = x e^(x^(2)) + e^(-x^(2)) and h(x) = x^(2) e^(x^(2)) + e^(-x^(2)) . If a, b, c respectively denote the absolute maximum of f, g and h on [0, 1] then show that a =b=c.

lim_ (h rarr0) (e ^ (2x + 2h) -e ^ (2x)) / (h) =

If f(x) = e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x) , then find the value of (g{f(x)})/(h(x))