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Continuity And Differentiability

Question
CBSEENMA12034795

Find space dy over dx where space square root of straight x plus square root of straight y equals 20

Solution
Here space square root of straight x plus square root of straight y equals 20
Differntiating space both space sides space straight w. straight r. tx comma space we space get comma
fraction numerator 1 over denominator 2 square root of straight x end fraction plus fraction numerator 1 over denominator 2 square root of straight y end fraction dy over dx equals 0
or space space space space space space space space space space space space space fraction numerator 1 over denominator 2 square root of straight y end fraction dy over dx equals negative fraction numerator 1 over denominator 2 square root of straight x end fraction
therefore space space space space space space space space space space space space space space space space space space space space space space space space space dy over dx equals negative fraction numerator square root of straight x over denominator square root of straight y end fraction

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