Question

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

Answer 1

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

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.