Determine for which values of x, the function `y=x^(4)-(4x^(3))/(3)` is increasing and for which it is decreasing.

Find for which values of 'x', the functions: y =x^4 -(4x^3)/3 is increasing and for which values, it is decreasing.

For which values of x, the function f(x)=(x)/(x^(2)+1) is increasing and for which value of x, it is decreasing.

For which values of x, the function f(x)=(x)/(x^(2)+1) is increasing and for which values of x, it is decreasing.

For which values of x , the function f(x)=x/(x^2+1) is increasing and for which value of x , it is decreasing.

For which values of x , the function f(x)=x/(x^2+1) is increasing and for which values of x , it is decreasing.

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

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