Find the critical point of the function f(x) = x2 – 2x + 7.

Question

asked Oct 15, 2021 8.3k views

1 Answer

Justin Callison · Answer 1 · 2021-10-22T06:34:17+0000

Answer:

x=1 is a critical point of the function
f(x).

Explanation:

f(x)=x^2-2x+7

Differentiate both sides w.r.t.

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

Now,
f'(x)=0

$\therefore 2x-2=0$

$\Rightarrow 2x=2$

$\Rightarrow x=1$

Hence,
x=1 is a critical point of the given function.