Ex 5.7, 4

Last updated at Dec. 8, 2016 by Teachoo

Ex 5.7, 4 - Find second order derivatives of log x - Ex 5.7

Transcript

Ex 5.7, 4 Find the second order derivatives of the function log﷮𝑥﷯ Let y = log﷮𝑥﷯ Differentiating 𝑤.𝑟.𝑡.𝑥 . 𝑑𝑦﷮𝑑𝑥﷯ = 𝑑( log﷮𝑥﷯)﷮𝑑𝑥﷯ 𝑑𝑦﷮𝑑𝑥﷯ = 1﷮𝑥﷯ Again Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑﷮𝑑𝑥﷯ 𝑑𝑦﷮𝑑𝑥﷯﷯ = 𝑑 ﷮𝑑𝑥﷯ 1﷮𝑥﷯﷯ 𝑑﷮2﷯𝑦﷮𝑑 𝑥﷮2﷯﷯ = 𝑑( 𝑥﷮−1﷯)﷮𝑑𝑥﷯ 𝑑﷮2﷯𝑦﷮𝑑 𝑥﷮2﷯﷯ = −1 𝑥﷮−1−1﷯ 𝑑﷮2﷯𝑦﷮𝑑 𝑥﷮2﷯﷯ = 𝑥﷮−2﷯ 𝒅﷮𝟐﷯𝒚﷮𝒅 𝒙﷮𝟐﷯﷯ = −𝟏﷮ 𝒙﷮𝟐﷯﷯

Ex 5.7

Ex 5.7, 4 You are here

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Serial order wise

Ex 5.1
Ex 5.2
Ex 5.3
Ex 5.4
Ex 5.5
Ex 5.6
Ex 5.7
Ex 5.8
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