Answer:
y = x^2 (x - 2) = x^3 - 2 x^2
dy/dx = 3 x^2 - 4 x
At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve
you have the following inequality:
3 + 4x > -5
in order to solve for x, proceed as follow:
3 + 4x > -5 subtract 3 both sides
4x > - 5 - 3
4x > -8 divide by 4 both sides
x > -8/4
x > -2
Hence, the solution to the given inequality is x > -2
