Question

Find the derivative using implicit differentiation
ln(7+e^xy)=y

Answer 1

before differentiating, you can simplify it,
use, if \(\large \ln (a)=b \implies a=e^b\)

Answer 2

What would that be

Answer 3

then,
\(\large \ln(7+e^{xy})=y \implies 7+e^{xy}=e^y\)
right ?
now you can take the derivative.

Answer 4

but I keep getting the wrong answer I got ye=7

Answer 5

whats ye ?

Answer 6

y^e-7

Answer 7

but you'll need product rule (also, chain rule) for left side, could you observe that ?
for the term e^{xy}