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  • 15-01-2020
  • Mathematics
contestada

In Exercise, find dy/dx implicity.
y2 + xy = 7

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matthewadeyinka10
matthewadeyinka10 matthewadeyinka10
  • 15-01-2020

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-y}{2y+x}[/tex]

Step-by-step explanation:

Differentiating, y2 + xy = 7, implicitly with respect to x, you find that

2y.[tex]\frac{dy}{dx}[/tex] + y + x.[tex]\frac{dy}{dx}[/tex] = 0

(2y+x) [tex]\frac{dy}{dx}[/tex]=-y

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-y}{2y+x}[/tex]

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