Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online problems:

Interactive Problem 809: Partial Derivatives

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Let

$\displaystyle f(x,y,z)=\frac{xy^2+e^z}{x^2y-e^z}. $

Evaluate

$\displaystyle f_x,f_y$    and $\displaystyle f_z $

at

$\displaystyle P_1=(2,1,0) , P_2=(-1,3,ln2)$    and $\displaystyle P_3=(1,-1,-ln5).$


Solution (reduce the fractions completely):

  $ P_1$ $ P_2$ $ P_3$
$ f_x$ /
$ f_y$ /
$ f_z$ /

   
(Author: Christian Höfert)

see also:

  automatically generated: 8/11/2017