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Home  Partial Differentiation Maxima and Minima Examples Example 3: Neither Maximum Nor Minimum |
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Example 3: Neither Maximum Nor Minimum
Show that the function z = ex ln y has no maximum or minimum. The domain is the open region - ∞ < x < ∞, 0 < y < ∞. The partial derivatives are
There are no critical points because ∂z/∂y is never zero. Therefore there is no maximum or minimum.
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Last Update: 2006-11-15