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Select the correct answer from the given alternative: If y = ax+bcx+d, then dydx = - Mathematics and Statistics

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Question

Select the correct answer from the given alternative:

If y = `("a"x + "b")/("c"x + "d")`, then `("d"y)/("d"x)` =

Options

  • `("ab" - "cd")/("c"x + "d")^2`

  • `("a"x - "c")/("c"x + "d")^2`

  • `("ac" - "bd")/("c"x + "d")^2`

  • `("ad" - "bc")/("c"x + "d")^2`

MCQ

Solution

If y = `("a"x + "b")/("c"x + "d")`, then `("d"y)/("d"x)` = `("ad" - "bc")/("c"x + "d")^2`

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Definition of Derivative and Differentiability
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Chapter 9: Differentiation - Miscellaneous Exercise 9 [Page 194]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 9 Differentiation
Miscellaneous Exercise 9 | Q I. (2) | Page 194

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