Problem
The critical number of $f(x)=x^{2}-2 x+9$ is Answer:
Solution
Step 1 ：The critical numbers of a function are the x-values where the derivative of the function is either zero or undefined. So, to find the critical numbers of the function \(f(x)=x^{2}-2 x+9\), we first need to find its derivative.
Step 2 ：The derivative of the function \(f(x)=x^{2}-2 x+9\) is \(f'(x)=2x-2\).
Step 3 ：Now, we need to find the x-values where this derivative is zero.
Step 4 ：The critical number of the function \(f(x)=x^{2}-2 x+9\) is \(\boxed{1}\).
