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Ex 5.3, 3 - Find dy/dx in, ax+by2 = cos y - Chapter 5 NCERT - Finding derivative of Implicit functions

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Ex 5.3, 3 Find ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ in, ๐‘Ž๐‘ฅ + ๐‘๐‘ฆ2 = cosโก๐‘ฆ ๐‘Ž๐‘ฅ + ๐‘๐‘ฆ2 = cosโก๐‘ฆ Differentiating both sides ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘‘ ๐‘Ž๐‘ฅ + ๐‘๐‘ฆ2๏ทฏ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘ c๐‘œ๐‘ ๏ทฎ๐‘ฆ๏ทฏ๏ทฏ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ๐‘‘ ๐‘Ž๐‘ฅ๏ทฏ๏ทฎ๐‘‘๐‘ฅ๏ทฏ + ๐‘‘ ๐‘๐‘ฆ2๏ทฏ๏ทฎ๐‘‘๐‘ฅ๏ทฏ= ๐‘‘ (cos๏ทฎ๐‘ฆ๏ทฏ)๏ทฎ๐‘‘๐‘ฅ๏ทฏ a ๐‘‘๐‘ฅ๏ทฎ๐‘‘๐‘ฅ๏ทฏ +๐‘ ๐‘‘ ๐‘ฆ2๏ทฏ๏ทฎ๐‘‘๐‘ฅ๏ทฏ= ๐‘‘ ๏ทฎ๐‘‘๐‘ฅ๏ทฏcos y a + b ๐‘‘ (๐‘ฆ2)๏ทฎ๐‘‘๐‘ฅ๏ทฏ ร— ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฆ๏ทฏ= ๐‘‘ cos๏ทฎ๐‘ฆ๏ทฏ๏ทฏ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ร— ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฆ๏ทฏ a + b ๐‘‘ (๐‘ฆ2)๏ทฎ๐‘‘๐‘ฆ๏ทฏ ร— ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ= ๐‘‘ cos๏ทฎ๐‘ฆ๏ทฏ๏ทฏ๏ทฎ๐‘‘๐‘ฆ๏ทฏ ร— ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ๐‘Ž + ๐‘ .2๐‘ฆร— ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ= โˆ’ sin๏ทฎ๐‘ฆ ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ๐‘Ž + 2๐‘๐‘ฆ . ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ= โˆ’ sin๏ทฎ๐‘ฆ ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ 2๐‘๐‘ฆ . ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ + sin๏ทฎ๐‘ฆ ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = 0 โˆ’ ๐‘Ž ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ (2๐‘๐‘ฆ + sin๏ทฎ๐‘ฆ ๏ทฏ) = โˆ’๐‘Ž ๐’…๐’š๏ทฎ๐’…๐’™๏ทฏ = โˆ’๐’‚๏ทฎ๐Ÿ๐’ƒ๐’š + ๐’”๐’Š๐’๏ทฎ๐’š ๏ทฏ๏ทฏ

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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