The Product Rule

AP Calculus AB· difficulty 3/5

f g

By the product rule, ddx[fg]\dfrac{d}{dx}[fg] equals:

  • A

    fgfgg2\dfrac{f'g - fg'}{g^2}

  • B

    fgf'g'

  • C

    fgfgf'g - fg'

  • D

    fg+fgf'g + fg'

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Explanation

Product rule: (fg)=fg+fg(fg)' = f'g + fg'.

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