Let f ,g are differentiable function such that `g(x)=f(x)-x` is strictly increasing function, then the function `F(x)=f(x)-x+x^(3)` is

Show that f(x) = 3x + 5 is a strictly increasing function on R

Prove that f (x) = e^(3x) is strictly increasing function on R.

f(x) is a strictly increasing function, if f'(x) is :

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0

Let f (x), g(x) be two real valued functions then the function h(x) =2 max {f(x)-g(x), 0} is equal to :

Let f(x) be a function such that f(x), f'(x) and f''(x) are in G.P., then function f(x) is

f and g differentiable functions of x such that f(g(x))=x," If "g'(a)ne0" and "g(a)=b," then "f'(b)=

Let g be the greatest integer function. Then the function f(x)=(g(x))^(2)-g(x) is discontinuous at