Check Full Chapter Explained - Continuity and Differentiability - Continuity and Differentiability Class 12

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise

Transcript

Ex 5.3, 1 Find 𝑑𝑦/𝑑π‘₯ in, 2π‘₯ + 3𝑦 = sin⁑π‘₯ Given 2π‘₯+3𝑦 = sin⁑π‘₯ Differentiating both sides 𝑀.π‘Ÿ.𝑑.π‘₯ (𝑑 (2π‘₯ + 3𝑦))/(𝑑π‘₯ ) = (𝑑(sin⁑〖π‘₯)γ€—)/(𝑑π‘₯ ) (𝑑(2π‘₯))/(𝑑π‘₯ ) +(𝑑(3𝑦))/(𝑑π‘₯ )=(𝑑(sin⁑〖π‘₯)γ€—)/(𝑑π‘₯ ) 2 (𝑑(π‘₯))/(𝑑π‘₯ ) +"3" (𝑑(𝑦))/(𝑑π‘₯ )=(𝑑(sin⁑〖π‘₯)γ€—)/(𝑑π‘₯ ) 2 + 3 (𝑑(𝑦))/(𝑑π‘₯ ) = cos⁑π‘₯ 3 (𝑑(𝑦))/(𝑑π‘₯ ) = cos⁑π‘₯ βˆ’ 2 (𝒅(π’š))/(𝒅𝒙 ) = 𝟏/πŸ‘ (𝒄𝒐𝒔⁑𝒙 βˆ’ 2) (Derivative of 𝑠𝑖𝑛⁑π‘₯ is π‘π‘œπ‘ β‘π‘₯)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.