Partial Derivative/Examples/x z^y

Example of Partial Derivative
Let $\map f {x, y, z} = x z^y$ be a real function of $3$ variables.

Then the partial derivative the $2$nd variable may be expressed as:


 * $\map {f_2} {x, y, z} = x z^y \ln z$

and because of the notation chosen, we have:


 * $\map {f_2} {r, s, t} = r t^s \ln t$