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Example 38 - Find d2y/dx2, if y = x3 + tan x - Chapter 5

Example 38 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.