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calculus

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a)find the first partial derivatives of f(x y)= x √1+y^2

b)find the first partial derivatives of f(x,y)= e^x ln y at the point (0,e)

  • calculus - ,

    f(x,y) = x√(1+y^2)
    fx = (√1+y^2)
    fy = xy/(√1+y^2)

    Just treat the other variables as constants.

  • calculus - ,

    fx=e^xlny
    fy=e^x/y

    fx=e^(0)ln(e)=1
    fy=1/e

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