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} = ( \frac{\partial f}{\partial x} ) ( \frac{\partial […]
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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} = ( \frac{\partial f}{\partial x} ) ( \frac{\partial […]
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 $\phi$. For a function $f(x)$, the chain […]
Indefinite Integration
The following quote from Reference [1] can clarify a lot of confusion about indefinite integration: Today the process of finding the fluent […]