What is the derivative of $\frac{e^{2 x}}{x}$ $e^(2x)/x$ ?

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Answer 1 · 2016-07-20T22:57:22

$= e^{2 x} (\frac{2 x - 1}{x^{2}})$ $=e^(2x) ((2 x - 1)/(x^2))$

so why not use the quotient rule

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

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

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

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