A curve has equation y=x3+3x2−24xy = x^3 + 3x^2 - 24xy=x3+3x2−24x
Sketch the gradient function of the curve.
Determine the set of values of x x\,x for which x3+3x2−24xx^3 + 3x^2 - 24xx3+3x2−24x is increasing.