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Question

If f(x)=kx-sinxin monotonically increasing, then


A

k>1

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B

k>-1

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C

k<1

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D

k<1

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Solution

The correct option is A

k>1


Explanation for correct option:

Find the relation:

Given,

f(x)=kxsinx

Differentiated the given function with respect to x,

f(x)=kcosx[ddxsinx=cosx]

Since, the function is monotonically increasing,

f'(x)>0kcosx>0

At x=0, we get

k>cos0k>1cosx[-1,1]

Hence, the correct option is A.


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