Question

Finding extremes help please?

For the polynomial function f(x) = -0.02x^4 + .36x^2 - 1.62, find all local and global extrema.

(A) No local extrema exist.
(B) The local and global extrema are: (-3, 0), (0, -1.62) and (3, 0)
(C) The only extrema point is (9, 0)
(D) The only extrema point is (- 1.62, 0)

Answer 1

thank you

Answer 2

Local min at x=0 y = -1.62

Answer 3

Local max at x=3 y=0 and x=-3 y=0

Answer 4

thank you

Answer 5

derivative is

-0.08x(x-3)(x+3)
that has critical poitns at 0,3,-3

Answer 6

increasing to decreasing at point -3
decreasing to increasing at 0
increasing to decreasing at +3