Implicit Differentiation

AP Calculus AB· difficulty 3/5

For x2+y2=25x^2 + y^2 = 25, the slope at (3,4)(3, 4) is

  • A

    4/34/3

  • B

    3/43/4

  • C

    3/4-3/4

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  • D

    4/3-4/3

Explanation

From y=x/yy' = -x/y: at (3,4)(3, 4), y=3/4y' = -3/4.

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