Question

implicit differentiation to find dy/dx

stuck on two probs

*postin now

Answer 1

\[x ^{y}=y ^{x}\]
this is what i did so far:

\[y \ln x = x \ln y\]

then differentiated to get this: \[\frac{ y }{ x }=x \frac{ y' }{ y }\] but yea I'm stuc and i think I messed up somewhere

Answer 2

Problem 2 is this:

\[\ln(xy)=x+y\]

so i would do something like this im guessing:
Is that correct so far though?