39-42 Differentiate f and find the domain of f\text{.} 40. f(x)=\ln \left(x^(2)-2 x\right)

Question

39-42 Differentiate
`f` and find the domain of
`f\text{.}`

40.
`f(x)=\ln \left(x^(2)-2 x\right)`

Answer 1

`\text{Given that,}\\\\f(x) = \ln (x^2 - 2x)\\\\f'(x) = \frac 1{x^2 -2x} \cdot (2x - 2) = (2(x-1))/(x(x-2))\\\\\\\text{domain f(x): } \ x < 0, x > 2 \`