`f(x)=x^3+2x^2-1` find where it is increasing and decreasing

Find the intervals in which the functions: f(x) =x^3 + 2x^2 - 1 is strictly increasing and decreasing

Find the intervals in which f(x)=5x^3-15 x^2-120 x+3 is increasing or decreasing.

Find the set of value of x where the function f(x) = 2x^3 + 3x^2 - 36x -7 is increasing or decreasing.

Find the intervals in which f(x)=2x^3-12 x^2+18 x+15 is increasing or decreasing.

Find the intervals in which the function f(x)=-2x^3-9x^2-12x+1 strictly increasing or decreasing.

Find the intervals in which f(x)=-2x^3-9x^2-12 x+1 is increasing or decreasing.

Prove that the function / defined by f(x) = x^(2) -x+1 is neither increasing nor decreasing in (-1, 1). Hence, find the intervals in which f(x) is: (i) strictly increasing , (ii) strictly decreasing.

Find the intervals in which f(x)=3/2x^4-4x^3-45 x^2+51 is increasing or decreasing.

Prove that the function f defined by f(x)=x^2−x+1 is neither increasing nor decreasing in (−1,1) . Hence find the intervals in which f(x) is strictly increasing and strictly decreasing.

the function f(x)=x^2-x+1 is increasing and decreasing