Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative: If y = (3x2+8x-6)53, then dydx = ? - Mathematics and Statistics

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MCQ

Choose the correct alternative:

If y = `root(3)((3x^2 + 8x - 6)^5`, then `("d"y)/("d"x)` = ?

Options

  • `5/3 (6x + 8) (3x^2 + 8x - 6)^(2/3)`

  • `(-5)/3 (6x + 8) (3x^2 + 8x - 6)^(2/3)`

  • `3/5 (3x + 4) (3x^2 + 8x - 6)^(2/3)`

  • `(-3)/5 (3x + 4) (3x^2 + 8x - 6)^(2/3)`

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Solution

`5/3 (6x + 8) (3x^2 + 8x - 6)^(2/3)`

Concept: Derivatives of Composite Functions - Chain Rule
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