Partial derivative in Spherical Coordinates

Is partial derivative of ##u(x,y,z)## equals to

[tex]\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}+\frac{\partial u}{\partial z}[/tex]

Is partial derivative of ##u(r,\theta,\phi)## in Spherical Coordinates equals to

[tex]\frac{\partial u}{\partial r}+\frac{\partial u}{\partial \theta}+\frac{\partial u}{\partial \phi}[/tex]



Thanks

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