Computing (1st-Order) Partial Derivatives In Exercises 1-78, compute the partial derivatives (i.e. 1st-order partials) of the given functions. 1. f(x,y)=x3y4+6x5−3y3 2. f(x,y)=x2y6−5x4+4y5 3. f(x,y)=4x2y1/2−6x5/2y3 4. f(x,y)=6x4y1/3−6x2/3y2 5. f(x,y)=xy 6. f(x,y)=3xy 7. f(x,y)=x2+y2 8. f(x,y)=x4+y4 9. f(x,y)=x2+y21 10. f(x,y)=x4+y41 11. f(x,y)=x2+y21 12.

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Pregunta: Computing (1st-Order) Partial Derivatives In Exercises 1-78, compute the partial derivatives (i.e. 1st-order partials) of the given functions. 1. f(x,y)=x3y4+6x5−3y3 2. f(x,y)=x2y6−5x4+4y5 3. f(x,y)=4x2y1/2−6x5/2y3 4. f(x,y)=6x4y1/3−6x2/3y2 5. f(x,y)=xy 6. f(x,y)=3xy 7. f(x,y)=x2+y2 8. f(x,y)=x4+y4 9. f(x,y)=x2+y21 10. f(x,y)=x4+y41 11. f(x,y)=x2+y21 12.
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Computing (1st-Order) Partial Derivatives In Exercises 1-78, compute the partial derivatives (i.e. 1st-order partials) of the given functions. 1.

f (x, y) = x^{3} y^{4} + 6 x^{5} - 3 y^{3}

f (x, y) = x^{2} y^{6} - 5 x^{4} + 4 y^{5}

f (x, y) = 4 x^{2} y^{1/2} - 6 x^{5/2} y^{3}

f (x, y) = 6 x^{4} y^{1/3} - 6 x^{2/3} y^{2}

f (x, y) = x y

f (x, y) = 3 x y

f (x, y) = x^{2} + y^{2}

f (x, y) = x^{4} + y^{4}

f (x, y) = \frac{1}{x ^{2} + y ^{2}}

10.

f (x, y) = \frac{1}{x ^{4} + y ^{4}}

11.

f (x, y) = \frac{1}{x ^{2} + y ^{2}}

12.

f (x, y) = \frac{1}{x ^{4} + y ^{4}}

13.

f (x, y) = (3 x + 4 y) x^{2} + y^{2}

14.

f (x, y) = (2 x + 3 y) x^{4} + y^{4}

15.

f (x, y) = (2 x^{3} - y^{2}) x^{2} + y^{2}

16.

f (x, y) = (3 x^{5} - y^{4}) x^{4} + y^{4}

17.

f (x, y) = \frac{2 x + 5 y}{3 x + 7 y}

18.

f (x, y) = \frac{5 x + 3 y}{4 x + 6 y}

19.

f (x, y) = \frac{x ^{4} y ^{3}}{x ^{3} + y ^{2}}

20.

f (x, y) = \frac{x ^{6} y ^{5}}{x ^{2} + y ^{2}}

21.

f (x, y) = \frac{x ^{2} + y ^{3}}{x ^{3} + y ^{2}}

22.

f (x, y) = \frac{x ^{4} + y ^{5}}{x ^{2} + y ^{3}}

23.

f (x, y) = \frac{x}{x + y}

24.

f (x, y) = \frac{x}{x - y}

25.

f (x, y) = \frac{e ^{x} + e ^{y}}{e ^{x} - e ^{y}}

26.

f (x, y) = \frac{e ^{x} - e ^{y}}{e ^{x} + e ^{y}}

27.

f (x, y) = \frac{e ^{x} - e ^{- y}}{e ^{- x} + e ^{y}}

28.

f (x, y) = \frac{e ^{- x} - e ^{y}}{e ^{x} + e ^{- y}}

29.

f (x, y) = \frac{c o s x + s i n y}{c o s x + c o s y}

30.

f (x, y) = \frac{c o s x + c o s y}{s i n x + s i n y}