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If y = then(3x2-4x+7.5)4,then dydx is ______ -

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Question

If y = `(3x^2 - 4x + 7.5)^4, "then"  dy/dx` is ______ 

Options

  • 4(3x2 - 4x + 7.5)3 (6x - 4)

  • 4(3x2 + 4x + 7.5)3 (6x + 4x)

  • 4(3x2 - 4x + 7.5)(6x - 4x)

  • 4(3x2 + 4x + 7.5) (6x + 4x)

MCQ
Fill in the Blanks

Solution

If y = `(3x^2 - 4x + 7.5)^4, "then"  dy/dx` is 4(3x2 - 4x + 7.5)3 (6x - 4)

Explanation:

y = `(3x^2 - 4x + 7.5)^4`

∴ `dy/dx = 4(3x^2 - 4x + 7.5)^3. d/dx(3x^2 - 4x + 7.5)`

= `4(3x^2 - 4x + 7.5)^3(6x - 4)`

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