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



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


Example 38 Find 𝑑2𝑦/𝑑π‘₯2 , if 𝑦 = π‘₯3+tan⁑π‘₯. 𝑦 = π‘₯3+tan⁑π‘₯ Differentiating 𝑀.π‘Ÿ.𝑑.π‘₯ 𝑑𝑦/𝑑π‘₯ = (𝑑(π‘₯^3+ tan⁑〖π‘₯)γ€—)/𝑑π‘₯ 𝑑𝑦/𝑑π‘₯ = (𝑑(π‘₯^3))/𝑑π‘₯ + (𝑑(tan⁑〖π‘₯)γ€—)/𝑑π‘₯ π’…π’š/𝒅𝒙 = πŸ‘π’™πŸ+π’”π’†π’„πŸ 𝒙 Again Differentiating 𝑀.π‘Ÿ.𝑑.π‘₯ (𝑑^2 𝑦)/〖𝑑π‘₯γ€—^2 = (𝑑 (3π‘₯2 +sec^2⁑π‘₯))/𝑑π‘₯ (𝑑^2 𝑦)/〖𝑑π‘₯γ€—^2 = (𝑑 (3π‘₯2))/𝑑π‘₯ + (𝑑 (sec2 π‘₯))/𝑑π‘₯ (𝑑^2 𝑦)/〖𝑑π‘₯γ€—^2 = 6π‘₯+2 sec⁑π‘₯ . (𝑑(sec⁑〖π‘₯)γ€—)/𝑑π‘₯ (𝑑^2 𝑦)/〖𝑑π‘₯γ€—^2 = 6π‘₯+2 sec⁑π‘₯.sec⁑〖π‘₯ tan⁑π‘₯ γ€— γ€–π’…π’šγ€—^𝟐/〖𝒅𝒙〗^𝟐 = πŸ”π’™+𝟐 〖𝒔𝒆𝒄〗^πŸβ‘π’™ . π­πšπ§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 9 years. He provides courses for Maths and Science at Teachoo.