Calc 3

Find the critical point of the function f(x,y)=2e^x−4xe^y.

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  1. critical points are where both partial derivatives are zero. So, you need
    Fx = 2e^x - 4e^y = 0
    Fy = -4xe^y = 0
    so, clearly, x=0, so
    e^y = 1/2 ... y = -ln2

    the critical point is (0,-ln2)

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