Example 23 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at April 16, 2024 by Teachoo

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Example 23 Find 𝑑𝑦/𝑑𝑥 , if y + sin y = cos⁡𝑥 y + sin y = cos x Differentiating both sides by x 𝑑𝑦/𝑑𝑥 + (𝑑(sin⁡〖𝑦)〗)/𝑑𝑥 = (𝒅(𝐜𝐨𝐬⁡〖𝒙)〗)/𝒅𝒙 𝑑𝑦/𝑑𝑥 + (𝑑(〖sin 〗⁡〖𝑦)〗)/𝑑𝑥 = − sin x 𝑑𝑦/𝑑𝑥 + (𝒅(𝐬𝐢𝐧⁡〖𝒚)〗)/𝒅𝒚 . 𝑑𝑦/𝑑𝑥 = − sin x 𝑑𝑦/𝑑𝑥 + cos y 𝑑𝑦/𝑑𝑥 = − sin x 𝑑𝑦/𝑑𝑥 (1 + cos y) = − sin x 𝒅𝒚/𝒅𝒙 = (−𝒔𝒊𝒏⁡𝒙)/((𝟏 + 𝒄𝒐𝒔⁡〖𝒚)〗 )

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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