Quadratic formula / stationary points

Question

For the question find and classify the stationary points of f(x)

Given the function f(x) = ln(x^2 - 2x + 2)

Are my calculations right in thinking x = 3.75, -0.75 ?

Cheers

Answer 1

The derivative of that function is:

$$f'(x) = {-2 + x\over 2-2x+x^2}$$

Set it to zero and solve for x.

Edit Correct derivative:

$$f'(x) = {-2 + 2x\over 2-2x+x^2}$$