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Mathematics

12th

grade

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Derivatives - Product Rule

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19 questions

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  • 1. Multiple Choice
    2 minutes
    1 pt

    Use the product rule to find the derivative. f(x) = x3(3x42)f\left(x\right)\ =\ -x^3\left(3x^4-2\right)  

     3x2+12x3-3x^2+12x^3  

     21x3+6x-21x^3+6x  

     21x6+6x2-21x^6+6x^2  

     84x66x2-84x^6-6x^2  

  • 2. Multiple Choice
    2 minutes
    1 pt

     x2(3x22)x^2\left(-3x^2-2\right)  

     6x34x-6x^3-4x  

     12x34x-12x^3-4x  

     12x3+4x12x^3+4x  

     36x24-36x^2-4  

  • 3. Multiple Choice
    2 minutes
    1 pt

    Let y = (x - 1)(x + 2). Find dy/dx.

    2x + 1

    2x - 1

    4x - 1

    2x2 + x - 1

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