Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative: If y = xx, then dydx = ? - Mathematics and Statistics

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MCQ

Choose the correct alternative:

If y = `x^(sqrt(x))`, then `("d"y)/("d"x)` = ?

Options

  • `y/(2sqrt(x))(log x + 2)`

  • `y/sqrt(x)(log x + 2)`

  • `y/(2sqrt(x))(log x - 2)`

  • `y/sqrt(x)(log x - 2)`

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Solution

`y/(2sqrt(x))(logx + 2)` 

Concept: Derivatives of Composite Functions - Chain Rule
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