apostol.pdf

# Si a a b las derivadas parciales fa i y faj también

This preview shows pages 17–20. Sign up to view the full content.

Si a = (a, b) las derivadas parciales f'(a; i) y f'(a;j) también se escriben (a, b) ox y -(a, b), oy respectivamente. En R3 , si a = (a, b, c) las derivadas parciales DI/(a), D 2 f(a), y Daf(a) se expresan poniendo -(a,b,c), ox - (a, b, e), oy y -(a,b,c). oz 8.8 Derivadas parciales de orden superior La derivación parcial origina nuevos campos escalares Dd, , Dnf a partir de un campo escalar dado f. Las derivadas parciales de D1f, , Dnf se llaman derivadas parciales de segundo orden de f. Para funciones de dos variables exis- ten cuatro derivadas parciales de segundo orden, que se escriben así: o"i D1(Dd) = _._, ox oy

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Derivadas direccionales y continuidad 313 18. Sea v(r,t) = tne- r '/ Wl Hallar un valor de la constante n tal que v satisfaga la siguiente ecuación: OV 1 o ( OV) at = ;2 or r 2 or 19. Dada z = u(x, y)e""'+bv y a'ujax ay) = O. Hallar valores de las constantes a y b tales que oz oz ---+z=O. ox oy 20. a) Suponer quef'(x; y)= O para todo x en una cierta n-bolaB(a) y para todo vector y.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern