SOLUTION: Need some help with this: Find the derivative of:{{{(lnx)/(ln(x+1))}}}

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Question 1088751: Need some help with this: Find the derivative of:%28lnx%29%2F%28ln%28x%2B1%29%29
Answer by natolino_2017(77) About Me  (Show Source):
You can put this solution on YOUR website!
let f(x) = ln(x) and g(x) = ln(x+1)
f'(x) = 1/x and g'(x) = 1/(x+1)
using the quotient's formula:
(f(x)/(g(x))' = (f'(x)*g(x) - f(x)*g'(x))/(g(x))^2
= (ln(x+1)/x -ln(x)/(x+1))/(ln^2(x+1))
= ((x+1)(ln(x+1))-(xln(x))/((x)(x+1)(ln^2(x+1))
@natolino_