How to sketch a cubic polynomial? How do you sketch $-4x^3+15x-1 = 0$? Any help would be appreciated!

Hope this help.
$f = -4x^3+15x-1$
$f' = -12x^2 + 15$
$f'=0 => x_{1,2} = \pm \sqrt5/2$
$f(-2) = 1, f'(-2) = -33$
$f(-1) = 18, f'(-1) = 3$
$f(0) = -1, f'(0) = 15$
$f(1) = 10, f'(1) = 3$
$f(2) = -3, f'(2) = -33$
