Determine for what values of x, the function `f(x)= x^3+1/x^3(x != 0)` is strictly increasing or strictly decreasing.

Determine for which values of 'x' the function f(x) = x^3 - 24x + 7 is strictly increasing or strictly decreasing.

Show that the function f(x)=x^(2) is neither strictly increasing nor strictly decreasing on R

Show that the function f(x)=x^(2) is neither strictly increasing nor strictly decreasing on R

Show that the function f(x)=x^2 is neither strictly increasing nor strictly decreasing on R .

Find the interval in which f(x)=x^3-3x^2-9x+30 is strictly increasing or strictly decreasing.

Determine the interval in which the function f(x) = 2x^(3) - 15x^(2) + 36 x + 1 is strictly increasing and strictly decreasing.

Find the intervals on which the function f(x) = 6 - 9x - x^(2) is (a) strictly increasing (b) strictly decreasing