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If y = elogx then dydx = ? - Mathematics and Statistics

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Question

If y = elogx then `dy/dx` = ?

Options

  • `(e^(logx))/x`

  • `1/x`

  • 0

  • `1/2`

MCQ

Solution

`(e^(log x))/x`

Explanation:

y = elogx

Differentiating both sides w.r.t.x, we get

`dy/dx = e^(logx).d/dx`(logx)

= `e^(logx).1/x`

= `(e^(logx))/x`

shaalaa.com
The Concept of Derivative - Derivatives of Logarithmic Functions
  Is there an error in this question or solution?
Chapter 3: Differentiation - MISCELLANEOUS EXERCISE - 3 [Page 99]
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