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Ex 5.3, 2 - Find dy/dx in, 2x + 3y = sin y - Class 12 NCERT - Finding derivative of Implicit functions

  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Ex 5.3, 2 Find 𝑑𝑦﷮𝑑𝑥﷯ in , 2𝑥 + 3𝑦 = sin⁡𝑦 . 2𝑥 + 3𝑦 = sin⁡𝑦 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 𝑑 2𝑥 + 3𝑦﷯﷮𝑑𝑥﷯ = 𝑑 sin﷮𝑦﷯﷯﷮𝑑𝑥﷯ 𝑑 2𝑥﷯﷮𝑑𝑥﷯ + 𝑑 3𝑦﷯﷮𝑑𝑥﷯= 𝑑 sin﷮𝑦﷯﷯﷮𝑑𝑥﷯ 2 𝑑𝑥﷮𝑑𝑥﷯ + 3𝑑 𝑦﷯﷮𝑑𝑥﷯= 𝑑 sin﷮𝑦﷯﷯﷮𝑑𝑦﷯ × 𝑑𝑦﷮𝑑𝑥﷯ 2 + 3 𝑑𝑦﷮𝑑𝑥﷯ = cos﷮𝑦﷯ × 𝑑𝑦﷮𝑑𝑥﷯ cos﷮𝑦﷯ × 𝑑𝑦﷮𝑑𝑥﷯ – 3 𝑑𝑦﷮𝑑𝑥﷯ = 2 𝑑𝑦﷮𝑑𝑥﷯ (cos y – 3) = 2 𝒅𝒚﷮𝒅𝒙﷯ = 𝟐﷮( 𝒄𝒐𝒔﷮𝒚−𝟑)﷯﷯

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