
Last updated at Sept. 24, 2018 by Teachoo
Transcript
Ex 5.7, 4 Find the second order derivatives of the function log𝑥 Let y = log𝑥 Differentiating 𝑤.𝑟.𝑡.𝑥 . 𝑑𝑦𝑑𝑥 = 𝑑( log𝑥)𝑑𝑥 𝑑𝑦𝑑𝑥 = 1𝑥 Again Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑𝑑𝑥 𝑑𝑦𝑑𝑥 = 𝑑 𝑑𝑥 1𝑥 𝑑2𝑦𝑑 𝑥2 = 𝑑( 𝑥−1)𝑑𝑥 𝑑2𝑦𝑑 𝑥2 = −1 𝑥−1−1 𝑑2𝑦𝑑 𝑥2 = 𝑥−2 𝒅𝟐𝒚𝒅 𝒙𝟐 = −𝟏 𝒙𝟐
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