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Differentiate the following w. r. t. x. : x3 .3x - Mathematics and Statistics

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Question

Differentiate the following w. r. t. x. : x3 .3x

Sum

Solution

Let y = x3 3x
Differentiating w.r.t. x, we get

`dy/dx = d/dx (x^3 3^x)`

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

= (x3)(3x log 3) + 3x(3x2)

= x2 3x (xlog3 + 3)

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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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