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The Quotient Rule

AP Calculus AB· difficulty 3/5

x f/g

By the quotient rule, ddx[fg]\dfrac{d}{dx}\left[\dfrac{f}{g}\right] equals:

  • A

    f′g−fg′g2\dfrac{f'g - fg'}{g^2}

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  • B

    f′g+fg′g2\dfrac{f'g + fg'}{g^2}

  • C

    f′g′\dfrac{f'}{g'}

  • D

    fg′−f′gg2\dfrac{fg' - f'g}{g^2}

Explanation

Quotient rule: (fg)′=f′g−fg′g2\left(\frac{f}{g}\right)' = \frac{f'g - fg'}{g^2}.

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