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Question

The differential coefficient of x6 with respect to x3 is


A

5x2

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B

3x3

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C

5x3

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D

2x3

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Solution

The correct option is D

2x3


Explanation for the correct option:

Let

u=x6,dudx=6x5v=x3,dvdx=3x2

Now,

dudv=dudxdvdx=6x53x2=2x3

Hence, the correct answer is option (D).


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