- #1
hoch449
- 13
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Homework Statement
Find [tex]\frac{\partial\theta}{\partial y}[/tex]
[tex]z=rcos\theta[/tex]
[tex]x=rsin\theta\cos\phi[/tex]
[tex]y=rsin\theta\sin\phi[/tex]
[tex]r^2=x^2 + y^2 + z^2[/tex]
The Attempt at a Solution
We know [tex]cos\theta=\frac{z}{r}=\frac{z}{\sqrt{x^2 + y^2 + z^2}}[/tex]
So implicit differentiation says to differentiate both sides with respect to y and this is where I begin to run into trouble.
Please be very specific when you try to explain how this is done lol.
Thanks!