Question

minimums and maximums..again.

Answer 1

x^4-50x^2+5
increasing:
decreasing:
local min:
local max:
inflection point:
inflection point:

Answer 2

take the derivative, find the critical points and you are 9/10th of the way there

Answer 3

f' : 4x^3-100x

Answer 4

Critical points: -5,0,5 yeah?

Answer 5

looks good

Answer 6

Em..so now? haha
I made the little graph thing to find out where it's decreasing or increasing but I got negative values for all of them.

Answer 7

whoa hold the phone with the little graph thingy

Answer 8

...which is not looking correct lol

Answer 9

first off, don't forget you are smart and you know what a polynomial of degree 3 looks like (stop that !)

Answer 10

it has 3 zeros, at -5,0, and 5 and the leading coefficient is positive

Answer 11

negative is a synonym for below the x axis
look at the picture, you are done

Answer 12

but..but. My brain is failing me.

Answer 13

ooh i see it.

Answer 14

maybe. Just a moment.

Answer 15

that is my mental picture of \(y=4x^3-100x\) with zeros at \)-5,0,5\)

Answer 16

Increasing: (-5,0) union (5, infinity)
decreasing: (-infinity, -5) unition (0,5) ?

Answer 17

yes of course