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Differentiate the following w. r. t. x. : x3 log x - Mathematics and Statistics

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Question

Differentiate the following w. r. t. x. : x3 log x

Sum

Solution

Let y = (x3 log x)

Differentiating w.r.t. x, we get

`dy/dx = d/dx x^3 log x`

= `x^3 d/dx(logx) + (logx) d/dx(x^3)`

= `x^3xx1/x + (log x)(3x^2)`

= x2 + 3x2 log x

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Definition of Derivative and Differentiability
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Chapter 9: Differentiation - Exercise 9.1 [Page 120]

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