Identify the relative maximum value for the function shown below.?
g(x)=7/x^2+5

Question

Identify the relative maximum value for the function shown below.?
g(x)=7/x^2+5

baldymcgee6 · Answer

is it g(x) = 7/(x^2 +5) ?

anonymous · Answer

yes

baldymcgee6 · Answer

okay, think of it this way... what can you put in for x to give you the biggest output?

baldymcgee6 · Answer

if you put in a really big x value in, what will you get? 7/(really big number) = small number

baldymcgee6 · Answer

so the way to get the biggest output is to put in a really small number in for x

anonymous · Answer

like 0?

baldymcgee6 · Answer

exatly zero. Because when you put 0 in for x, you 7/5 which is the biggest possible number, also check out the graph at x =0 http://screencast.com/t/A1yoHw8EM0K0

anonymous · Answer

differentiate 
use maximum test

anonymous · Answer

how? i'm so confused right now

baldymcgee6 · Answer

@classof2013 is this for pre-calculus?

anonymous · Answer

yes it is

baldymcgee6 · Answer

okay, then yes, we can use the approach suggested by gomathi

baldymcgee6 · Answer

Lets differentiate g(x)=7/x^2+5

anonymous · Answer

how do you do that

anonymous · Answer

wait wouldn't it be 14 then?? or 0

baldymcgee6 · Answer

Your're getting ahead of yourself, first lets differentiate g(x)=7/x^2+5

so this is a quotient, so lets use the quotient rule. Do you know what that is and how to use it?

anonymous · Answer

no i don't

baldymcgee6 · Answer

Have you been taught differentiating rules yet?

anonymous · Answer

well it's all on the laptop and they don't really teach us much

baldymcgee6 · Answer

Okay, then, lets learn it! when we have a function in the form of g(x) = f(x)/h(x), ie, a quotient, we will apply the quotient rule.

baldymcgee6 · Answer

the quotient rule will give us g'(x) = (f'h-fh')/h^2

anonymous · Answer

then after that?

baldymcgee6 · Answer

then we get our derivative and equate it to zero, ie. our slope=0 (a horizontal line) http://screencast.com/t/NKOvnuGEH

anonymous · Answer

how do we know which one is maximum & minimum?

baldymcgee6 · Answer

look at the graph

baldymcgee6 · Answer

if you look at the link I gave you, you will notice the maximum right away.

anonymous · Answer

yeah isnt it the line right at top?

baldymcgee6 · Answer

that horizontal line is the slope of zero

anonymous · Answer

i get it kind of

baldymcgee6 · Answer

good, let me know if there is anything else..