Question

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

Answer 1

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