Another service from Omega

evaluate f(x,y,z)


*****

Problem:

Given

> f := (x,y,z) -> x*sin(y)+y*cos(z);

                     f := (x, y, z) -> x sin(y) + y cos(z)

Compute:

> `f(0,0,0)` = f(0,0,0);

                                 f(0,0,0) = 0
> `f(1,Pi/2,Pi)` = f(1,Pi/2,Pi);
                           f(1,Pi/2,Pi) = 1 - 1/2 Pi
> `f(1,Pi,Pi/2)` = f(1,Pi,Pi/2);
                               f(1,Pi,Pi/2) = 0
> `diff(f(x,x,x),x)` = diff(f(x,x,x),x);
           diff(f(x,x,x),x) = sin(x) + x cos(x) + cos(x) - x sin(x)
> collect(%,{sin(x),cos(x)});
              diff(f(x,x,x),x) = (1 - x) sin(x) + (x + 1) cos(x)
> `diff(f(y,y,0),y)` = diff(f(y,y,0),y);
                   diff(f(y,y,0),y) = sin(y) + y cos(y) + 1

Link to the commands in this file
Carlos Rodriguez <carlos@math.albany.edu>
Last modified: Wed Mar 21 10:40:05 EST 2001