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Ex 5.7, 2 Class 12 Maths - Find second order derivative of x^20

Ex 5.7, 2 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

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Transcript

Ex 5.7, 2 Find the second order derivatives of the function 𝑥^20 Let y = 𝑥^20 Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑𝑦/𝑑𝑥 = (𝑑(𝑥^20))/𝑑𝑥 𝑑𝑦/𝑑𝑥 = 〖20𝑥〗^(20−1) 𝑑𝑦/𝑑𝑥 = 〖20𝑥〗^19 Again Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑/𝑑𝑥 (𝑑𝑦/𝑑𝑥) = (𝑑 (〖20𝑥〗^19))/𝑑𝑥 (𝑑^2 𝑦)/(𝑑𝑥^2 ) = (20 𝑑(𝑥^19))/𝑑𝑥 (𝑑^2 𝑦)/(𝑑𝑥^2 ) = 20 × 19 𝑥^(19−1) (𝑑^2 𝑦)/(𝑑𝑥^2 ) = 20 × 19 𝑥^18 (𝑑^2 𝑦)/(𝑑𝑥^2 ) = 380 𝑥^18 Thus, (𝒅^𝟐 𝒚)/(𝒅𝒙^𝟐 ) = 380 𝒙^𝟏𝟖

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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.