Let . Use a chain rule to ﬁnd dz/dt. My attempt:
So we get:
However, the answer is apparently:
What have I done incorrectly? Thanks.
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You're overcomplicating this... .
Let so that .
Go from here.
I'd say you are right. An easy way to check is to substitute x(t) and y(t) into the original equation at the start and find dz/dt directly.
Ahh yes, that is a lot easier. I guess I got caught up with all this partial derivative stuff at uni.
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