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Extrema (view source)

Revision as of 03:44, December 25, 2009

181 bytes added ,  03:44, December 25, 2009
for multi-variable functions
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The ''relative'' maximum of a function is when its first derivative is zero and its second derivative is less than zero or, alternatively, its first derivative is positive approaching the point from the left and negative to its right.
 
The ''relative'' maximum of a function is when its first derivative is zero and its second derivative is less than zero or, alternatively, its first derivative is positive approaching the point from the left and negative to its right.
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To find the '''maxima''' of multi-variable functions, take the partial derivatives of the function with respect to each variable and set each of those resulting equations to zero.
 
[[Category:mathematics]]
 
[[Category:mathematics]]
 
[[Category:calculus]]
 
[[Category:calculus]]
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