Question

for which x-value does f(x)=3x^4-2x^3-5x^2-7x+10 go up?

Answer 1

@satellite73

Answer 2

U mean increases

Answer 3

yes

Answer 4

i know we have to find the second derative..

Answer 5

i got this for first: y' = 12x^3-6x^2-10x-7
y''= 63x^2-12x-10 but then idk what to do next

Answer 6

y'>0

Answer 7

i don't see an easy way to do this

Answer 8

Find the intervals for which y'>0

Answer 9

first factor 12x^3-6x^2-10x-7

Answer 10

well we actually want to know when the convex goes up?

Answer 11

you want \(12x^3-6x^2-10x-7>0\) but it doesn't factor or anything, so who knows?

Answer 12

careful here
is the question "over what interval is \(f\) increasing?"
or is it "over what interval is \(f\) concave up?"

they are two different things

Answer 13

how do you know that y'>0 ?!

Answer 14

i cant find factors

Answer 15

i don't know other than to use technology

Answer 16

is the concave up increasing

Answer 17

going up

Answer 18

so we need the second derivative

Answer 19

@bronzegoddess concave up and increasing are two very different things

Answer 20

okay let me rephrase for which value of x is the convex going up?

Answer 21

going up is not concave up
here is an example of going up, concave down

Answer 22

@bronzegoddess if it concave up or down thats didnt mean its increasing

Answer 23

i cannot figure out what " the convex going up" means
can you write the question exactly as it is written?

Answer 24

it is in dutch and thats what it is asking..

Answer 25

for which x-value is the convex side going up? sorry i forgot side @satellite73

Answer 26

still doesn't make sense?