Implicit Differentiation

AP Calculus AB· difficulty 3/5

For x2+y2=25x^2 + y^2 = 25, find dy/dxdy/dx.

  • A

    x/yx/y

  • B

    y/x-y/x

  • C

    2x+2y2x + 2y

  • D

    x/y-x/y

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Explanation

Differentiate: 2x+2yy=0y=x/y2x + 2y \cdot y' = 0 \Rightarrow y' = -x/y.

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