Quiz (Partial Derivatives)

Show all work and justify each step. Find the following partial derivatives.

(1) Determine and given

      and       .  

(2) Determine and by differentiating implicitly given   

     and     

(3) Show that but does not exist, where

.

(4) The heat equation is , and the wave equation is show which of the following satisfies these equations:







(5) The Cauchy-Riemann equations are   and where and are functions of and Show which of the following satisfies these equations:  

    (a)     (b)

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Partial Derivatives Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/partial-derivatives-quiz.html