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Derivadas Parciales de Primer Orden y de Orden Superior

Authored by Roberto Poma

Mathematics

11th Grade - University

Used 25+ times

Derivadas Parciales de Primer Orden y de Orden Superior
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10 questions

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1.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Encontrar la  fxxf_{xx}  de la funcion :  f(x,y)=3x2+2y+6x2+12y2f_{\left(x,y\right)}=3x^2+2y+6x^2+12y^2  

(a)  

2.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Encontrar la  fyyf_{yy}  de la funcion :  f(x,y)=3y2+2y+5xf_{\left(x,y\right)}=3y^2+2y+5x  

(a)  

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Encontrar la  fxf_x  de la funcion :  f(x,y)=x2sen y +y2 cos⁡ x\ f_{\left(x,y\right)}=x^2sen\ y\ +y^2\ \cos\ x  

 2x sen y−y2sen x2x\ sen\ y-y^2sen\ x  

 2x sen y +y2 cos⁡ x2x\ sen\ y\ +y^2\ \cos\ x  

 x2 cos⁡ y +y2 sen xx^2\ \cos\ y\ +y^2\ sen\ x  

 2x cos⁡ y −  2y sen x2x\ \cos\ y\ -\ \ 2y\ sen\ x  

Ninguno

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Encontrar la  fyf_y  de la funcion :  f(x,y)=x2sen y +y2 cos⁡ x\ f_{\left(x,y\right)}=x^2sen\ y\ +y^2\ \cos\ x  

 2x sen y−y2sen x2x\ sen\ y-y^2sen\ x  

 2x sen y +y2 cos⁡ x2x\ sen\ y\ +y^2\ \cos\ x  

 x2 cos⁡ y +2y cos⁡ xx^2\ \cos\ y\ +2y\ \cos\ x  

 2x cos⁡ y −  2y sen x2x\ \cos\ y\ -\ \ 2y\ sen\ x  

Ninguno

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Calcular la  fxf_x  de la funcion :  f(x,y)=5x2 sen (3x+4y2)f_{\left(x,y\right)}=5x^2\ sen\ \left(3x+4y^2\right)  

 10x sen (3x+4y2)+15x2cos⁡(3x+4y2)10x\ sen\ \left(3x+4y^2\right)+15x^2\cos\left(3x+4y^2\right)  

 10x sen(3x+4y2)+5x2cos⁡(3x+4y2)10x\ sen\left(3x+4y^2\right)+5x^2\cos\left(3x+4y^2\right)  

 10x cos⁡(3x+4y2)10x\ \cos\left(3x+4y^2\right)  

 10x cos⁡(3x+4y2)+15x sen (3x+4y2)10x\ \cos\left(3x+4y^2\right)+15x\ sen\ \left(3x+4y^2\right)  

Ninguno

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Calcular la  fyf_y  de la funcion :  f(x,y)=5x2 sen (3x+4y2)f_{\left(x,y\right)}=5x^2\ sen\ \left(3x+4y^2\right)  

 10x sen (3x+4y2)+15x2cos⁡(3x+4y2)10x\ sen\ \left(3x+4y^2\right)+15x^2\cos\left(3x+4y^2\right)  

 40x2y cos⁡ (3x+4y2)40x^2y\ \cos\ \left(3x+4y^2\right)  

 10x cos⁡(3x+4y2)10x\ \cos\left(3x+4y^2\right)  

 10x cos⁡(3x+4y2)+15x sen (3x+4y2)10x\ \cos\left(3x+4y^2\right)+15x\ sen\ \left(3x+4y^2\right)  

Ninguno

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Encontrar la  fxyf_{xy}  de la funcion :  f(x,y)=6x3y2+12xy2−2x2y3f_{\left(x,y\right)}=6x^3y^2+12xy^2-2x^2y^3  

 36x2y+24y−12xy236x^2y+24y-12xy^2  

 18x2y2+12y2−4xy318x^2y^2+12y^2-4xy^3  

 12x3y+24xy−6x2y212x^3y+24xy-6x^2y^2  

 36x2+24y−12xy36x^2+24y-12xy^{ }  

Ninguno

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