Find ∂f/∂y and ∂f/∂z in terms of the partial derivatives of f with respect to spherical polar coordinates (r, θ, φ) (see Example 3.5).
Example 3.5
A scalar point function f(r) can be expressed in terms of rectangular cartesian coordinates (x, y, z) or in terms of spherical polar coordinates (r, θ, φ), where
as shown in Figure 3.4. Find ∂f/∂x in terms of the partial derivatives of the function with respect to r, θ and φ
