Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

Differentiate both sides w.r.t. $x$

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

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.