Question

What are the critical x-values for the function..

Answer 1

\[\LARGE y=\frac{2x^2-x+3}{x^2+2} \]

Answer 2

We don't need derivatives for this, right?

Answer 3

Sorry, we do - I confused this with something else.

Answer 4

Find the derivative and equate to zero.

Answer 5

if i new wat x = i could figer it out

Answer 6

f'(x)=0 :P

Answer 7

What are the critical x-values for the function..

There are two types of critical values: the roots of f '(x) = 0, and any values at which the derivative is undefined. Since the derivative of your function f(x) is never zero, just focus on the critical values of the first kind: Find the derivative of f(x) using the chain rule, set the result = to 0, and solve for x.