Question

Differentiate f and find the domain of f. (enter the domain in interval notation.)f(x) = ln(x2 − 12x)derivative f '(x) = 2x−12x2−12x​ correct: your answer is correct.domain

Answer 1

F(x) = ln(x² - 12x)
The derivative is
$f'(x)= \frac{2x-12}{x^{2}-12x}$

f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)

Answer:
The derivative is
$f'(x) = \frac{2x-12}{x^{2}-12x}$
The domain is
(-∞, 0)∪(0, 12)∪(12,∞)