What is the derivative of $e^(2x)/x$ ?

Question

6890 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-20T22:57:22

$=e^(2x) ((2 x - 1)/(x^2))$

so why not use the quotient rule

$(u/v)' = (u' * v - u * v')/(v^2)$

$= (2e^(2x) * x - e^(2x) (1))/(x^2)$

$=e^(2x) ((2 x - 1)/(x^2))$

What is the derivative of e^(2x)/xe^(2x)/x?