Question

Question #2bc16

Answer 1

The points are: `(-5,8),(6,327)`

Explanation:

You do part b. the same way that you did part a. except that you set the first derivative equal to 144, instead of 0.

`f'(x) = 6x^2-6x-36 = 144`

`6x^2-6x-180 = 0`

`x^2-x-30 = 0`

`(x +5)(x-6) = 0`

`x = -5` and `x = 6`

The corresponding y coordinates are:

`f(-5) = 2(-5)^3+3(-5)^2-36(-5)+3` and `f(6) = 2(6)^3+3(6)^2-36(6)+3`

`f(-5) = 8` and `f(6) = 327`

The points are: `(-5,8),(6,327)`