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Question

Which of the following function has extreme point(s)

A
All of the above.
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B
x[x],where [.] denotes the greatest integer function.
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C
log10x
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D
2x
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Solution

The correct option is B x[x],where [.] denotes the greatest integer function.
For y=2x
dydx=2xln2=0 has no solution.

For y=log10x
dydx=1xloge10=0 has no solution

For y=x[x]={x};

From graph, we can see that every integral point is the point of local minima.

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