मराठी

Differentiate the following function w.r.t.x. : xlogx

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प्रश्न

Differentiate the following function w.r.t.x. : `x/log x`

बेरीज
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उत्तर

Let y =`x/log x`

Differentiating w.r.t. x, we get

`dy/dx=d/dx(x/logx)`

= `(logxd/dx(x) - xd/dx(logx))/(logx)^2`

=  `(logx(1) - x(1/x))/(logx)^2`

= `(logx-1)/(logx)^2`

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Rules of Differentiation (Without Proof)
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पाठ 9: Differentiation - Exercise 9.2 [पृष्ठ १२२]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
पाठ 9 Differentiation
Exercise 9.2 | Q I. (5) | पृष्ठ १२२

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