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Question

ddxxx+xa+ax+aa=


A

xx1+logx+a·xa-1

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B

xx1+logx+a·xa-1+axloga

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C

xx1+logx+aa1+loga

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D

xx1+logx+aa1+loga+axa-1+aa1+loga

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Solution

The correct option is B

xx1+logx+a·xa-1+axloga


Explanation for correct option:

Given, ddxxx+xa+ax+aa

Differentiate w.r.t. x

=ddxxx+ddxxa+ddxax+ddxaa=xx1+logx+axa-1+axloga+0ddxxx=xx1+logx&ddxax=axloga=xx1+logx+axa-1+axloga

Hence, correct answer is option B.


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