Determine which of the following is true for the function X^3+5x^2-8x+3

f(x) has a relative minimum at x = 2/3.
f(x) has a relative maximum at x = 2/3
f(x) has a zero at x = 2/3
Both A and C are true. <-----
Both B and C are true.

1 answer

dy/dx = 3 x^2 + 10 x -8 yes 0
d^2y/dx^2 = 6 x + 10 positive so min

at 0
I get about .2 so not 0

so I think only A