Implicit Differentiation

AP Calculus AB· difficulty 3/5

x y (0, 5)

For circle x2+y2=25x^2 + y^2 = 25, the slope of the tangent at (0,5)(0, 5) is:

  • A

    11

  • B

    00

    check_circle
  • C

    Undefined

  • D

    1-1

Explanation

Implicit diff: 2x+2yy=02x + 2yy' = 0, so y=x/y=0y' = -x/y = 0 at (0,5)(0,5).

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