Question

find the derivative below

Answer 1

\[e ^{x}e ^{y}= \pi\]

Answer 2

wrt ?

Answer 3

use either product rule, or
\(e^x=\pi e^{-y}\)
then differentiate.
if not mentioned, its always w.r.t x.

Answer 4

even better
\(e^{x+y}= \pi \\ x+y =\ln \pi \\ now \:\:differentiate.\)

Answer 5

i was going to use the product rule but using log propertys makes it easier....

Answer 6

yup, so dy/dx is just -1