Second Partial Derivatives in Polar Coordinates Parametric Equations  Rectangular Coordinates  Contents

fr[r,θ] = ∂/∂r(f[r,θ]) so frθ[r, θ]= ∂/∂r(fθ([r,θ]).  We can repeat these partial derivatives indefinitely as in the rectangular case.

Figure9


[D]

Constrained Maxima and Minima in Polar Coordinates Parametric Equations  Rectangular Coordinates  Top of Page  Contents

Figure11


[D]


Equality of Mixed Partial Derivatives in Polar Coordinates  Rectangular Coordinates  Top of Page  Contents

Figure10

[D]