1. Let's first state the problem: Determine if $x=0$ is a critical point of a given function. 2. Recall the definition: A critical point of a function $f(x)$ occurs where the derivative $f'(x)$ is zero or undefined. 3. To check if $x=0$ is a critical point, we need to find $f'(0)$. 4. If $f'(0) = 0$ or $f'(0)$ does not exist, then $x=0$ is a critical point. 5. Without the explicit function, we cannot compute $f'(0)$ here, but if in your problem $f'(0) = 0$ or is undefined, then yes, $x=0$ is a critical point. 6. So, verify the derivative at $x=0$ to confirm. Final answer: $x=0$ is a critical point if and only if $f'(0) = 0$ or $f'(0)$ is undefined.