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Question

Question: The differential coefficient of x<sup>6</sup> with respect to x<sup>3</sup> is...

The differential coefficient of x6 with respect to x3 is

A

6x6

B

3x2

C

2x3

D

x3

Answer

2x3

Explanation

Solution

dx6dx3\frac{dx^{6}}{dx^{3}}=ddx\frac{d}{dx}. (x6). dxdx3\frac{dx}{dx^{3}}= 6x53x2\frac{6x^{5}}{3x^{2}}= 2x3