Answer
1
Work Step by Step
Let c be the critical point.
This implies f'(c)=0 or f is not differentiable at c.
Since this function is a polynomial function, it is differentiable everywhere.
Now, let f'(c) be 0.
That is, 2c-2 = 0.
⇒ 2c= 2
⇒ c= 1.