ENGI 3424 Chapter 2 –
Demonstration of Maple for the evaluation of some higher order
partial derivatives, using examples from the lecture notes.
Below are the commands from the Maple worksheet.
Open the worksheet in Maple to see the resulting expressions.
ENGI 3424 Section 4.2 - some higher partial derivatives
Example 4.2.1
> f(x,y,t) := x*exp(-t)*sin(y);
> diff(f(x,y,t),x,y);
> diff(f(x,y,t),t,t,t);
Example 4.2.2
> u(x,y) := ln(sqrt(x^2 + y^2));
> diff(u(x,y),x,x);
> simplify(%);
> diff(u(x,y),y,y);
> simplify(%);
> diff(u(x,y),x,x) + diff(u(x,y),y,y);
> simplify(%);