Question

Consider the function f(x) = 12 x^5 + 60 x^4 -
100 x^3 + 1.
f(x) has inflection points at (reading from left to right) x = D, E, and F.

1.) What are the 3 inflection points?

Answer 1

set f''(x) = 0

f''(x) = 240x^3 + 720x^2 -600x = 0

--> 120x(2x^2+6x -5) = 0

use quadratic formula

Answer 2

x= 0
x= 1/2(-3(sqrt(19)) = -3.6794
x= 1/2(sqrt(19)-3) = 0.67945
@dumbcow

Answer 3

yes