Tess471 Tess471
  • 14-01-2020
  • Mathematics
contestada

Finding Derivatives Implicity In Exercise,Find dy/dx implicity.
exy + x2 - y2 = 10

Respuesta :

erturkmemmedli
erturkmemmedli erturkmemmedli
  • 15-01-2020

Answer:

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

Step-by-step explanation:

[tex]\frac{d}{dx} (e^{xy}+x^2-y^2=10)\\ye^{xy}+xe^{xy}\frac{dy}{dx} +2x-2y\frac{dy}{dx}=0\\\frac{dy}{dx}(2y-xe^{xy})=ye^{xy}+2x\\\frac{dy}{dx}=\frac{ye^{xy}+2x}{2y-xe^{xy}}[/tex]

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