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Calculus

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How do you use imlicit differentiation to differentiate e^(xy)?

I have the problem "use implicit differentiation to find dy/dx.
e^(xy)+ x^2 - y^2 = 10. I've gotten to the point whereI have d/dx(e^(xy)) + 2x - 2ydy/dx = 0, but I can't go any further because I don't know how to use implicit differentiation to find e/dx(e^(xy)). It's been a while since I've done this and i don't remember, can someone refresh my memory? Thanks1

  • Calculus - ,

    e^(xy) + x^2 - y^2 = 10

    e^(xy) (xdy/dx + y) + 2x - 2y dy/dx = 0

    xe^(xy) dy/dx + ye^(xy) + 2x - 2y dy/dx = 0

    dy/dx (xe^(xy) - 2y) = -2x - ye^(xy)

    dy/dx = (2x + ye^(xy) ) / (2y - xe^(xy) )

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