(adsbygoogle = window.adsbygoogle || []).push({}); Transformation from Cartesian to spherical polar coordinates

In dimensions:

x=r sinθ cos [itex]\varphi[/itex] and y= r sin θ sin [itex]\varphi[/itex] z=r cos θ

Show one example of:

∂z^{[itex]\alpha[/itex]}/ ∂x^{μ}. ∂x^{μ}/ ∂z^{[itex]\alpha[/itex]}= δ^{[itex]\alpha[/itex]}_{[itex]\beta[/itex]}

Now here is my answer:

δ^{y}_{x}=(∂y/∂r . ∂r/∂x) + (∂y/∂θ . ∂θ/∂x) + (∂y/∂[itex]\varphi[/itex] . ∂[itex]\varphi[/itex]/∂x)

Is this correct? If not where have I made an error... Thank you

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# Homework Help: Transformation from Cartesian to spherical polar coordinates

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