Question

trebuie derivat
$( \frac{ {e}^{2x} - 1}{ {e}^{x} } )$
vă rog frumos​

Answer 1

Formula (f/g)` = (f`*g - f*g`)/g²

[(e²ˣ -1)/eˣ]` =

[(e²ˣ)`*(-1) - e²ˣ**(-1)`] / (eˣ)² =

[e²ˣ*(2x)` *(-1) - e²ˣ *0] / e²ˣ =

-2e²ˣ /e²ˣ =  -2