Question

Find y' and y''

y=e^9e^x

I'm lost and don't know what to do here.

Answer 1

\(\large y=e^{\Large9}e^x\) or \(y=e^{\large9e^x}\) ?

Answer 2

The second one. Sorry, I'm not familiar with the formatting.

Answer 3

That's okay\[\begin{align}
y' = e^{\Large9e^x}\cdot9e^{\large x} &= 9e^\left({\Large{9e^x+x}}\right) \\
y'' = (y')' &= 9e^\left({\Large{9e^x+x}}\right)\cdot(9e^{\large x}+1)
\end{align}\]

Answer 4

Thanks so much! I was lost to as to how to get it.