Question

second derivative

Answer 1

\[(\frac{ e^x }{ axe^x+2 })''\]

with \[a \in \mathbb{R}\]

Answer 2

i get to the first derivative after simplifying: \[\frac{ 2e^x-ae^2x }{( axe^x+2)^2 }\]

Answer 3

Is this correct? should i now take the derivative again, to achieve the second derivative?

Answer 4

did you use the quotient rule?

Answer 5

yes, for the first derivative

Answer 6

then simplified

Answer 7

yeah, thats right,

Answer 8

i guess yeah, just apply that quotient rule one more time

Answer 9

That would be one long second derivative.