What are the local extrema, if any, of $f (x) = x^{2} - 2 x + 4$ $f (x) =x^2-2x+4$ ?

Question

1177 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-21T00:19:37

$f (1) = 3$ $f(1) = 3$ is a local minimum.

$f'(x) = 2x-2$

Critical number $x=1$ .

$f'(x) < 0$ for $x < 1$ and $f'(x) > 0$ for $x > 1$ , so $f(1) = 3$ is a local minimum.

What are the local extrema, if any, of f (x) =x^2-2x+4f(x)=x2−2x+4f (x) =x^2-2x+4?