Question

determine the x-value of all critical points for the following function

\\f(x) = \frac{2x^2}{x-3}\\

the x-value(s) of the critical point(s) of \\(f(x) = \frac{2x^2}{x-3}\\) is/are

(use a comma to separate answers as needed)

Explanation:

Find the derivative of the function

$$
LATEXBLOCK0
$$

Set the derivative equal to zero to find critical points

$$
LATEXBLOCK1
$$

Verify domain constraints

$$
LATEXBLOCK2
$$

Answer:

Determine the x-value of all critical points for the following function:

$$f(x) = \frac{2x^2}{x-3}$$

The x-value(s) of the critical point(s) of \(f(x) = \frac{2x^2}{x-3}\) are/is <blank>\(0, 6\)</blank>
(Use a comma to separate answers as needed)