Find all the first order partial derivatives for the following function. 1) f(x, y) = 9x - 7y^2 - 8 A) ?f/?x = 1; ?f/?y = -14y - 8 B) ?f/?x = 9x; ?f/?y = -14y C) ?f/?x = -14y; ?f/?y = 9 D) ?f/?x = 9; ?f/?y = -14y 2) f(x, y) = (5x^4y^3 + 6)^2 A) ?f/?x = 2(5x^4y^3 + 6); ?f/?y = 2(5x^4y^3 + 6) B) ?f/?x = 20x^3y^3; ?f/?y = 15x^4y^2 C) ?f/?x = 40x^3y^3(5x^4y^3 + 6); ?f/?y = 30x^4y^2(5x^4y^3 + 6) D) ?f/?x = 30x^4y^2(5x^4y^3 + 6); ?f/?y = 40x^3y^3(5x^4y^3 + 6) 3) f(x, y) = 1 / sqrt(x^2 + y^2) A) ?f/?x = -[x / (x^2 + y^2)^(3/2)]; ?f/?y = -[y / (x^2 + y^2)^(3/2)] B) ?f/?x = -[1 / (2(x^2 + y^2)^(3/2))]; ?f/?y = -[1 / (2(x^2 + y^2)^(3/2))] C) ?f/?x = -[x / (2(x^2 + y^2)^(3/2))]; ?f/?y = -[y / (2(x^2 + y^2)^(3/2))] D) ?f/?x = [x / (2(x^2 + y^2)^(3/2))]; ?f/?y = [y / (2(x^2 + y^2)^(3/2))]
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1) For \(f(x,y) = 9x - 7y^2 - 8\), we have: \(\frac{\partial f}{\partial x} = 9\) Show more…
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