Question

How to find the relative maximum value of a function?
g(x) = 7/(x^2+5)

Answer 1

I find the first derivative and set it to equal zero right?

Answer 2

This one doesn't need calculus, it's a quadratic equation.

Answer 3

I mean inverted quadratic function

Answer 4

The max of the function is the min of its denominator, which will be at the vertex.

Answer 5

It's already in vertex form, too.

Answer 6

So, i just graph it then?....and look at the vertex?

Answer 7

The minimum value x^2 can take is 0.

Answer 8

It's in vertex form. \[
y=(x-h)^2+k
\]In this case \((h,k)=(0,5)\)

Answer 9

Oh. Thanks.