Prove that the function given by f(x) = `x^(3) – 3x^(2) + 3x – 100` is increasing in R.

Find the intervals in which the function f given by f(x) = 2x^(3) – 3x^(2) – 36x + 7 is (a) increasing (b) decreasing

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

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

Find the intervals in which the function f given by f(x) = 2x^(3) - 3x^(2) - 36x + 7 is (a) strictly increasing (b) strictly decreasing?

If f(x) = kx^(3) - 9x^(2) +9x + 3 is increasing on R then

Find the intervals in which the function f given by f(x)=2x^(3)-3x^(2)-36x+7 is increasing.

THe interval in which the function f(x) = x^(3) - 6x^(2) + 9x + 10 is increasing in

Prove that the function given by f(x) = cos x is (b) strictly increasing in (pi,2 pi) .

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