मराठी

Find the derivative of the following w. r. t. x. : logxx3-5 - Mathematics and Statistics

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प्रश्न

Find the derivative of the following w. r. t. x. : `logx/(x^3-5)`

बेरीज
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उत्तर

Let y =`logx/(x^3-5)`

Differentiating w.r.t. x, we get

`dy/dx= d/dx(logx/(x^3 - 5))`

= `((x^3 - 5)d/dx(logx) - (logx)d/dx(x^3 - 5))/((x^3 - 5)^2)`

=`((x^3 - 5)(1/x) - logx(d/dx(x^3) - d/dx(5)))/((x^3 - 5)^2)`

= `((x^3 - 5)1/x - logx(3x^2 - 0))/((x^3 - 5)^2)`

= `((x^3 - 5)1/x - log x * 3x^2)/(x^3 - 5)^2`

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Rules of Differentiation (Without Proof)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Differentiation - Exercise 9.1 [पृष्ठ १२०]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
पाठ 9 Differentiation
Exercise 9.1 | Q IV. (3) | पृष्ठ १२०

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