[" (at "f(x)=e^(y)-x" and "g(x)=x^(2)-x],[" When.Thew "pi" ist "f" all "x" th "],[" where "h(x)=(f(0))(x)" is "],[" increasing is "-]

Let f(x) = e^(x) - x and g (x) = x^(2) - x, AA x in R . Then the set of all x in R where the function h(x) = (f o g) (x) in increasing is :

Let f be function satisfying f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x) , for all x and y, where g(x) is a continuous function. Then f'(x) is :

Let f be a function such that f(x+y)=f(x)+f(y)" for all "x and y and f(x) =(2x^(2)+3x) g(x)" for all "x, " where "g(x) is continuous and g(0) = 3. Then find f'(x)

Let f be a function such that f(x+y)=f(x)+f(y)" for all "x and y and f(x) =(2x^(2)+3x) g(x)" for all "x, " where "g(x) is continuous and g(0) = 3. Then find f'(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))

Let f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x)AA x,y in R where g(x) is continuous then f'(x) is

If f@g=g@f, where f(x)=2x+5 and g(x)=3x+h, then: h=

Let f(xy)=f(xy) f(y)"for all"x gt 0, y gt 0 and f(1+x)=1+x[1+g(x)],"where "lim_(x to 0) , where g(x),"then " int(f(x))/(f'(x)) dx is

Let f(x+y)=f(x)+f(y) and f(x)=x^2g(x)AA x,y in R where g(x) is continuous then f'(x) is

Let f be a function such that f(x+y)=f(x)+f(y) for all x and y and f(x)=(2x^2+3x)g(x) for all x , where g(x) is continuous and g(0)=3. Then find f^(prime)(x)dot