In Exercises 3-20, find fx(x,y) and fy(x,y). Then find fx(2,−1) and fy(−4,3). Leave the answers in terms of e in Exercises 7-10, 15-16, and 19-20. 3. f(x,y)=−4xy+6y3+5 4. f(x,y)=9x2y2−4y2 5. f(x,y)=5x2y3 6. f(x,y)=−3x4y3+10 7. f(x,y)=ex+y 8. f(x,y)=4e3x+2y 9. f(x,y)=−6e4x−3y 10. f(x,y)=8e7x−y 11. f(x,y)=x3−y2x2+y3 12. f(x,y)=x2+y23x2y3 13.

Resuelto In Exercises 3-20, find fx(x,y) and fy(x,y). Then

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Pregunta: In Exercises 3-20, find fx(x,y) and fy(x,y). Then find fx(2,−1) and fy(−4,3). Leave the answers in terms of e in Exercises 7-10, 15-16, and 19-20. 3. f(x,y)=−4xy+6y3+5 4. f(x,y)=9x2y2−4y2 5. f(x,y)=5x2y3 6. f(x,y)=−3x4y3+10 7. f(x,y)=ex+y 8. f(x,y)=4e3x+2y 9. f(x,y)=−6e4x−3y 10. f(x,y)=8e7x−y 11. f(x,y)=x3−y2x2+y3 12. f(x,y)=x2+y23x2y3 13.
Question 11 please!
Muestra el texto de la transcripción de la imagen
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Te mostramos cómo abordar esta pregunta.
For the first step, take the first order partial derivatives of with respect to and respectively, using the quotient rule of differentiation .
Paso 1
11) $f (x, y) = \frac{x^{2} + y^{3}}{x^{3} - y^{2}}$
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Paso 2
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Texto de la transcripción de la imagen:

In Exercises 3-20, find

f_{x} (x, y)

and

f_{y} (x, y)

. Then find

f_{x} (2, - 1)

and

f_{y} (- 4, 3)

. Leave the answers in terms of

e

in Exercises 7-10, 15-16, and 19-20. 3.

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

f (x, y) = 9 x^{2} y^{2} - 4 y^{2}

f (x, y) = 5 x^{2} y^{3}

f (x, y) = - 3 x^{4} y^{3} + 10

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

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

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

10.

f (x, y) = 8 e^{7 x - y}

11.

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

12.

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

13.

f (x, y) = ln ∣ ∣ 1 + 5 x^{3} y^{2} ∣ ∣

14.

f (x, y) = ln ∣ ∣ 4 x^{4} - 2 x^{2} y^{2} ∣ ∣