#### Hckyplayer8

##### Junior Member

- Joined
- Jun 9, 2019

- Messages
- 248

^{2}- x

^{4}

B) Determine the intervals where f is increasing and decreasing

C) Classify each point as a local max,min or neither

D) Determine the intervals where f is concave up or down

E) Determine the inflection points

A) f ' (x) = 2x-4x

^{3}Setting that to zero will yield an x of 0. Factoring that yields -2x(2x

^{2}-1) which further factors to -2x(square root 2 x +1) (square root 2 x -1) So x will also equal square root 2 over 2 and negative square root 2 over 2.

B) To determine the intervals where f is increasing and decreasing, I test f ' at different x values.

Does all look well thus far?