Example 25 - Find dy/dx, if y + sin y = cos x - Examples

  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Example 25 Find 𝑑𝑦/𝑑π‘₯ , if y + sin y = cos⁑π‘₯ y + sin y = cos x Differentiating both sides by x 𝑑𝑦/𝑑π‘₯ + (𝑑(sin⁑〖𝑦)γ€—)/𝑑π‘₯ = (𝒅(πœπ¨π¬β‘γ€–π’™)γ€—)/𝒅𝒙 𝑑𝑦/𝑑π‘₯ + (𝑑(γ€–sin 〗⁑〖𝑦)γ€—)/𝑑π‘₯ = βˆ’ sin x 𝑑𝑦/𝑑π‘₯ + (𝒅(〖𝐬𝐒𝐧 γ€—β‘γ€–π’š)γ€—)/π’…π’š . 𝑑𝑦/𝑑π‘₯ = βˆ’ sin x 𝑑𝑦/𝑑π‘₯ + cos y 𝑑𝑦/𝑑π‘₯ = βˆ’ sin x 𝑑𝑦/𝑑π‘₯ (1 + cos y) = βˆ’ sin x π’…π’š/𝒅𝒙 = (βˆ’π’”π’Šπ’β‘π’™)/((𝟏 + π’„π’π’”β‘γ€–π’š)γ€— )

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