Hello buddy.

You do! You already know you must use the quotient rule. Why is that? Because if you want to find the critical points of a function f(x), you need to consider the derivative : f'(x)

Finding f'(x) - use quotient rule

To find the critical points solve

f'(x) = 0. Thus

multiply by (x^2+5)²

<=>

and then you find .

To show that it is a max, solve ; must be < 0

To find the y-coordinate of your critical point, you need to solve

Yours

Rapha