Maharashtra State BoardHSC Commerce 11th
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Differentiate the following function w.r.t.x. : xlogx - Mathematics and Statistics

Sum

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

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Solution

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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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 9 Differentiation
Exercise 9.2 | Q I. (5) | Page 122
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