The Quotient Rule

AP Calculus AB· difficulty 3/5

If f(x)=xx+1f(x) = \dfrac{x}{x+1}, then f(x)=f'(x) =

  • A

    1(x+1)2\dfrac{-1}{(x+1)^2}

  • B

    x(x+1)2\dfrac{x}{(x+1)^2}

  • C

    1(x+1)2\dfrac{1}{(x+1)^2}

    check_circle
  • D

    11

Explanation

Quotient rule: 1(x+1)x1(x+1)2=1(x+1)2\dfrac{1 \cdot (x+1) - x \cdot 1}{(x+1)^2} = \dfrac{1}{(x+1)^2}.

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