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# Partial Derivatives Watch

1. Can anyone explain how to get the answer for dz/dx.

I did dz/dx = dz/dy . dy/dx but don't seem to get the answer. :/
2. By dz/dx, do you mean the regular as opposed to the partial ?

EDIT: If it is, then and so you can sub in 'y' and then are differentiating...
3. (Original post by As_Dust_Dances_)

Can anyone explain how to get the answer for dz/dx.

I did dz/dx = dz/dy . dy/dx but don't seem to get the answer. :/
Easiest method would be to substitute x^2 for y into the arctan, simplify and differentiate.

Otherwise, use

They both give the same result.
4. (Original post by ghostwalker)
Easiest method would be to substitute x^2 for y into the arctan, simplify and differentiate.

Otherwise, use

They both give the same result.
I think I was thinking too much about it, substituting y into it makes sense, although I think with this question I'm supposed to use your second method. Thanks anyway!

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Updated: April 16, 2013
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