How do you find the local max and min for # y = 3x^4 + 4x^3 – 12x^2 + 1#?
Overall maximum is 1 at x = 0..
= 0, at x 0, x=1 and x=
The second derivative is
This is < 0 at x = 0 and > 0 at x = 1 and x =
Accordingly, y is the maximum at x = 0 and local minimum, at each of x - 1 and x =