The Chain Rule

AP Calculus AB· difficulty 3/5

ddx1+x2=\dfrac{d}{dx}\sqrt{1 + x^2} =

  • A

    11+x2\dfrac{1}{\sqrt{1+x^2}}

  • B

    x1+x2\dfrac{x}{\sqrt{1+x^2}}

    check_circle
  • C

    2x1+x2\dfrac{2x}{\sqrt{1+x^2}}

  • D

    121+x2\dfrac{1}{2\sqrt{1+x^2}}

Explanation

121+x22x=x1+x2\dfrac{1}{2\sqrt{1+x^2}} \cdot 2x = \dfrac{x}{\sqrt{1+x^2}}.

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