Here's one: find the derivative of (xy)^x = e
Stacey Warren - Expert brainly.com
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This is what I did:
I took the natural log to both sides
I divided x out of each side
Used properties of logarithms to separate out ln(xy)
lnx + lny=1/x
then I took the derivative to both sides
I then multiplied both sides by y, which I just found by using the earlier equation: lny=-lnx+1/x
But I'm sure there's an easier or different way, I just went about it this route since this is where I felt most comfortable.
Very interesting. I asked the question somewhere else and got a different approach but same response. This is actually very helpful to see it done a couple different ways. And thanks for the extra explanations!