How do I find all the critical points of #f(x)=(x-1)^2#?
See the explanation.
The critical numbers for a function
We can use the power and chain rule to get:
Or we can expand
Find the critical numbers for
Either way, we see that
The "critical points" are (most commonly), the same as critical numbers.
But some use a variant terminology in which critical points are points on the graph, so the have both
If you are in such a situation, you need to find