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19 December, 02:04

Find y' if x^2 + y^2 = 10.

a. 2x + 2y = 0

b. 10 - 2x - 2y

c. negative x over y

d. 10 - x over y

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Answers (1)
  1. 19 December, 05:20
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    x^2 + y^2 = 10

    take the partial derivative

    2x + 2y dy/dx = 0

    subtract 2x from each side

    2y dy/dx = - 2x

    divide by 2y

    dy/dx = - 2x / 2y

    dy/dx = - x/y
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