Question

Find the derivative and simplify y=(lnx)/(e^2x)

Answer 1

(lnx)'(e^2x)-(lnx)(e^2x)' / (e^2x)^2

Answer 2

Quotient rule

Answer 3

Yes I used the quotient rule and then I get stuck because I don't know how to simplify it

Answer 4

can you show us what you have so far?

Answer 5

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

Answer 6

\[(\frac{ 1 }{ x })(e ^{2x})-(lnx) (e ^{2x})/ (e ^{2x})^{2}\]

Answer 7

follow the top quotient rule formula,
and also when you derive e^2x you would get 2e^2x