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Question

The derivative of the function (x3+ln6)(x) is

A
32x3/2
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B
3x2x
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C
3x2x+x3+ln62x
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D
2x3x
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Solution

The correct option is C 3x2x+x3+ln62x
The given function is the product of two different functions i.e., (x3+ln6) and x.
ddx[f(x).g(x)]=f(x).g(x)+g(x).f(x) ddx[(x3+ln6)(x)]=ddx(x3+ln6)×(x)+ ddx(x)×(x3+ln6)=(3x2)(x)+(x3+ln6)(12x1/2)=3x2x+x3+ln62x

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