Find the maximum and minimum values of curiosity (a-x-y)
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. Answer: we have local maximum at ( 1/3 , 1/3 )
1 .Step-by-step explanation: F ( x ) = xy ( a-x-y ) F ( x ) = axy - x²y - xy² Taking partial derivative wrt x. F ' ( x ) = ay - 2xy - y² ...
2 . y = 0 , y = a - 2x. Now taking F ' ( y ) = 0. F ' ( y ) = ax - x² - 2xy. Taking y = 0 [ as we got the value of y = 0 and a - 2x ]
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