Prove that the function `f` given by `f(x)=x^3-3x^2+4x` is strictly increasing on `R` .

Prove that the function given by f(x)=2x^(3)-6x^(2)+7x is strictly increasing in R.

Show that the function f given by f(x)=x^3-3x^2+4x ,x in R is strictly increasing on R.

Show that the function F given by f(x)=x^3-3x^2+4x,x in R is strictly increasing

Show that the function f given by f(X) = 7x - 3 is strictly increasing on R.

Show that the function f given by f(x)=x^(3)-6x^(2)+17x-420 is strictly increasing on R.

Show that the function given by f(x) = 7x-3 is strictly increasing on R.

Show that the function given by f (x) = 3x + 17 is strictly increasing on R.

Show that the function given by f(x) = 3x + 17 is strictly increasing on R.

Prove that the function f given by f(x)=x^2-x+1 is neither strictly increasing nor strictly decreasing on ? (-1,1)

Prove that the function f given by f(x)=x^2-x+1 is neither strictly increasing nor strictly decreasing on ( 1, 1) .