Ex 5.3, 1 - Find dy/dx in 2x + 3y = sin x - Class 12 CBSE - Finding derivative of Implicit functions

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

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