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

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Sum

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

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Solution

Let y = ex log x
Differentiating w.r.t. x, we get

`dy/dx = d/dx ("e"^xlog x)`

= `"e"^xd/dx(logx) + (logx) d/dx ("e"^x)`

=`"e"^x(1/x) + (logx)("e"^x)`

= `"e"^x(1/x+logx)`

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

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Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 9 Differentiation
Exercise 9.1 | Q III. (3) | Page 120
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