मराठी

Find the second order derivative of the function. log x

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प्रश्न

Find the second order derivative of the function.

log x

बेरीज
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उत्तर

Let, y = log x

Differentiating both sides with respect to x,

`dy/dx = d/dx log x`

`dy/dx = 1/x`

Differentiating both sides again with respect to x,

`(d^2y)/(dx^2 ) = d/dx [1/x]`

= `d/dx [x^-1]`

= `-1 x^(-1-1)`

= −1 x−2

= `-1/x^2`

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पाठ 5: Continuity and Differentiability - Exercise 5.7 [पृष्ठ १८३]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 5 Continuity and Differentiability
Exercise 5.7 | Q 4 | पृष्ठ १८३

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