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Question

For all real values of x, increasing function f(x) is


A

x-1

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B

x2

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C

x3

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D

x4

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Solution

The correct option is C

x3


Finding the value of the given function:

Take f(x)=x3

Now, differentiate with respect to x. we get

f'(x)=3x2

It is non negative for real values of x.

Thus, f(x)=x3 is an increasing function.

Hence, option C is correct .


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