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Home Partial Differentiation Higher Partial Derivatives Examples Example 1: Second Partial Derivatives
 
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Example 1: Second Partial Derivatives

Find the four second partial derivatives of

z = ex sin y + xy2.

11_partial_differentiation-521.gif, 11_partial_differentiation-522.gif

11_partial_differentiation-523.gif

Notice that in this example the two mixed second partials ∂2z/∂y∂x and ∂2z/∂x ∂y are equal. The following theorem shows that it is not just a coincidence.
Home Partial Differentiation Higher Partial Derivatives Examples Example 1: Second Partial Derivatives

Last Update: 2006-11-15