Question

derive this function: ln((sqrtx^2+1)/(x(2x^3-1)))

Answer 1

looks like you should use quotient rule

(f/g)' = (f'g -fg') / g^2

Answer 2

\[\ln (\sqrt{x ^{2}-1}\div x(2x ^{3}-1)^{2})\]

Answer 3

i tried and it gets really complicated and long... i wondered if there's a simpler method

Answer 4

just break it into two natural logs

Answer 5

oh duh. thank you

Answer 6

oh the whole thing is inside the log...yeah log(x/y) = logx -logy

then use chain rule