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Continuity And Differentiability

Question
CBSEENMA12034786

Find dy over dx in the following :
x2 + x y + y2 = 100 

Solution
Here space straight x squared plus xy plus straight y squared equals 100
Differentiating space both space sides space straight w. straight r. straight t space straight x comma space we space get comma
2 straight x plus straight x dy over dx plus straight y.16 plus 2 straight y dy over dx equals 0
therefore space left parenthesis straight x plus 2 straight y right parenthesis dy over dx equals negative left parenthesis 2 straight x plus straight y right parenthesis
therefore space space space space space space space space space space space space space space dy over dx equals negative fraction numerator 2 straight x plus straight y over denominator straight x plus 2 straight y end fraction

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