Implicit Differentiation

AP Calculus AB· difficulty 3/5

For xy=6xy = 6, dy/dx=dy/dx =

  • A

    x/y-x/y

  • B

    y/x-y/x

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  • C

    y/xy/x

  • D

    x+yx + y

Explanation

Differentiate: y+xy=0y=y/xy + x y' = 0 \Rightarrow y' = -y/x.

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