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Differentiate the following: y = 5-1x - Mathematics

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प्रश्न

Differentiate the following:

y = `5^((-1)/x)`

बेरीज
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उत्तर

y = `5^((-1)/x)`

y = `"e"log^(5 - 1/x)`

y = `"e"^(- 1/xlog 5)`

`("d"y)/("d"x) = "e"^(- 1/x log 5) xx "d"/("d"x) (- 1/x log 5)`

= `"e"^(- 1/x log 5) xx - log 5((-1) x^(- 1 - 1))`

= `"e"^(- 1/x log 5) xx (log 5) x^(- 2)`

= `"e"^(log 5 - 1/x) ((log 5))/x^2`

`("d"y)/("d"x) = (5^(-1/x) (log 5))/x^2` 

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Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.3 [पृष्ठ १६३]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.3 | Q 20 | पृष्ठ १६३

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