Suppose $F(x,y,z) \equiv f(x) g(y) h(z)$. This post shows how to calculate a partial derivative of a […]
Tag: multivariable function
How a Multivariable Function Changes with Respect to an Azimuthal Coordinate
For a functions $f(x)$, $g(y)$ and $h(z)$, the chain rule yields $ \frac{\partial f(x)}{\partial \phi} = […]
How a Multivariable Function Changes with Respect to a Polar Coordinate
For a functions $f(x)$, $g(y)$ and $h(z)$, the chain rule yields $ \frac{\partial f(x)}{\partial \theta} = […]
How a Multivariable Function Changes with Respect to a Radial Coordinate
First focus on the Cartesian coordinate $x$, which depends on the spherical coordinates $r,\theta,$ and […]