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Find the second order derivative of the function. log x - Mathematics

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Question

Find the second order derivative of the function.

log x

Sum

Solution

Let, y = log x

Differentiating both sides with respect to x,

`dy/dx = d/dx  log x`

`= 1/x`

`= (d^2y)/dx^2`

`= -1/x^2`

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Chapter 5: Continuity and Differentiability - Exercise 5.7 [Page 183]

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NCERT Mathematics [English] Class 12
Chapter 5 Continuity and Differentiability
Exercise 5.7 | Q 4 | Page 183

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