Find all the first order partial derivatives for the following function. 7) f(x, y) = e^-x / (x^2 + y^2) A) ?f/?x = - e^-x(x^2 + y^2 + 2x) / (x^2 + y^2)^2; ?f/?y = - 2ye^-x / (x^2 + y^2)^2 B) ?f/?x = - 2xe^-x / (x^2 + y^2)^2; ?f/?y = - 2ye^-x / (x^2 + y^2)^2 C) ?f/?x = e^-x(x^2 + y^2 + 2x) / (x^2 + y^2)^2; ?f/?y = 2ye^-x / (x^2 + y^2)^2 D) ?f/?x = - e^-x(x^2 + y^2 + 2x) / (x^2 + y^2)^2; ?f/?y = - 2ye^-x / (x^2 + y^2)^2 8) f(x, y) = x / (x + y) A) ?f/?x = y / (x + y)^2; ?f/?y = - x / (x + y)^2 B) ?f/?x = - y / (x + y)^2; ?f/?y = - x / (x + y)^2 C) ?f/?x = 2x + y / (x + y)^2; ?f/?y = x / (x + y)^2 D) ?f/?x = 2x + y / (x + y)^2; ?f/?y = - x / (x + y)^2 9) f(x, y) = xye^-y A) ?f/?x = ye^-y; ?f/?y = xe^-y(y - 1) B) ?f/?x = ye^-y; ?f/?y = xe^-y C) ?f/?x = ye^-y; ?f/?y = -xye^-y D) ?f/?x = ye^-y; ?f/?y = xe^-y(1 - y)
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