Example 38 - Find d2y/dx2, if y = x3 + tan x - Chapter 5 - Finding second order derivatives - Normal form

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Example 38 Find 𝑑2𝑦/𝑑π‘₯2 , if 𝑦 = π‘₯3+tan⁑π‘₯. (𝑑^2 𝑦)/〖𝑑π‘₯γ€—^2 = 6π‘₯+2sec⁑π‘₯ . (𝑑(sec⁑〖π‘₯)γ€—)/𝑑π‘₯ (𝑑^2 𝑦)/〖𝑑π‘₯γ€—^2 = 6π‘₯+2 sec⁑π‘₯.sec⁑〖π‘₯ tan⁑π‘₯ γ€— 〖𝑑𝑦〗^2/〖𝑑π‘₯γ€—^2 = 6π‘₯+2 sec^2⁑π‘₯ . tan⁑π‘₯ Thus , γ€–π’…π’šγ€—^𝟐/〖𝒅𝒙〗^𝟐 = πŸ”π’™+𝟐 〖𝒔𝒆𝒄〗^πŸβ‘π’™ . 𝒕𝒂𝒏⁑𝒙

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