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Prove that the logarithmic function is strictly increasing on (0, ∞).

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Question

Prove that the logarithmic function is strictly increasing on (0, ∞).

Sum
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Solution

f(x) = log x

f'(x) = `1/x > 0`

`x in (0, infty)`

Hence the function `(0, infty)` is increasing.

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Chapter 6: Application of Derivatives - Exercise 6.2 [Page 206]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.2 | Q 10 | Page 206

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