Section 14.3 Partial Derivatives
Ex 101
Use Clairaut’s Theorem to show that if the third-order partial
derivatives of \(f\) are continuous,
then
\[f_{xyy} = f_{yxy} = f_{yyx}.\]
Use Clairaut’s Theorem to show that if the third-order partial
derivatives of \(f\) are continuous,
then
\[f_{xyy} = f_{yxy} = f_{yyx}.\]