Formula:139

Digital Library of Mathematical Functions ID 1.5.E41

${\displaystyle{\displaystyle\frac{\partial(x,y,z)}{\partial(\rho,\theta,\phi)}=\rho^{2}\sin\theta\quad\text{(spherical coordinates)}.}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$: partial derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\partial\NVar{x}}}$: partial differential of $$x$$
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle\phi}}$: longitude
• ${\displaystyle{\displaystyle\rho}}$: radius
• ${\displaystyle{\displaystyle\theta}}$: azimuth
 

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