Question

how do you differentiate ln (x+3/x-2)?

Answer 1

using the quotient rule:

\[\frac{ d }{ dx } \frac{ f(x) }{ g(x) } = \frac{ f'(x)g(x) - f(x)g'(x) }{ (g'(x))^2 }\]

Answer 2

fprime(x)/f(x) where f(x)=(x+3)/(x-2)

Answer 3

Separate into two separate logarithms.
Then Integrate.