Differentiate f and find the domain of f. (Enter the domain in interval notation.)

Question

Differentiate f and find the domain of f. (Enter the domain in interval notation.)

f(x) = x
1 − ln(x − 5)
derivative	f '(x)	=

Answer 1

The domain of f(x) is all x such that x-5>0 which implies that Domain(f)=(5,\infty). The derivative of f(x) equals -1/(x-5).