Question

How do I identify the relative maximum value for the function g(x)=2/x^2+3?

Answer 1

@DemolisionWolf do you think you could help me with this? looking for the derivatives still confuses me :o

Answer 2

here is a hint to work with fractions when needing to do derivatives
\[\frac{ 1 }{ x^2 } = x^{-2}\]

Answer 3

so does that mean that all my numbers will be negative?

Answer 4

wait is it,
g(x)=(2/x^2)+3
or
g(x)=2/(x^2+3)
?

Answer 5

the second one! im sorry, heres the problem in a picture just to make everything more clear :)

Answer 6

bleh :P
haha, i liked the other one more

Answer 7

haha is this one harder?

Answer 8

so the first step is to do the chain rule on it.
ya, this one is, haha, the other one is like 2 steps.

Answer 9

aw man :( lol okay, so what is the chain rule? :O

Answer 10

the chain rule means we let u be equal to x^2+3
\[\frac{ d }{ du } \frac{ 1 }{ u }\frac{ du }{ dx }\]
does this sound familiar?

Answer 11

not really :o

Answer 12

does thhat mean that i add x^2+3 to the top equation?

Answer 13

hmmm... I wonder if there is another way to solve this w/o the chain rule...

Answer 14

hm, well I could definitely try it with the chain rule if you thinks its the best way

Answer 15

i'm not sure how else to solve it..
and getting into the chain rule is a bit longer than I had wanted to spend on this, so we will go quick, cuz I gotta go at 5:30 ^_^

Answer 16

oh okay, i totally understand :)