Which of the following function has extreme point?

2^{x}

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{log}_{10} x

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x - [x]

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all of these

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Solution

The correct option is D $x - [x]$
Logarithmic functions and exponential functions do not have extremums since $f^{'} (x) = 0$ given no real root.
$y = x - [x]$ has a maxima, and the maximum value being $1.$

Suggest Corrections

Similar questions

x

{log}_{10} (x + 9) + 2 {log}_{10} \sqrt{2 x - 1} = 1

{log}_{10} [\frac{1}{2^{x} + x - 1}] = x [{log}_{10} 5 - 1]

{({log}_{10} x + 2)}^{3} + {({log}_{10} x - 1)}^{3} = {(2 {log}_{10} x + 1)}^{3}

x :

x + {log}_{10} (1 + 2^{x}) = x . {log}_{10} 5 + {log}_{10} 6

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