cp /math/calclab/MA1024/Partials.mws My_Documents

You can copy the worksheet now, but you should read through the lab
before you load it into Maple. Once you have read to the exercises,
start up Maple, load
the worksheet `Partials.mws`, and go through it
carefully. Then you can start working on the exercises.

The Maple commands for computing partial derivatives are `D`
and `diff`. The **Getting Started** worksheet has examples
of how to use these commands to compute partial derivatives.

- Compute the three distinct second order partial derivatives of

using the**diff**command and then again using the**D**command. - Given the function

do the following:- a)
- Plot the function and the plane on the same graph.
- b)
- Find the first order partial derivative with respect to x.
- c)
- Find the derivative of in the plane.
- d)
- Find the two-dimensional equation of the intersection of the function and the plane.
- e)
- Graph the two-dimensional intersection of the plane.
- f)
- Does your two-dimensional graph look like the intersection form your tree-dimensional graph?

- Given:

- a)
- Find the tangent plane at .
- b)
- Plot the function and the tangent plane.

2005-11-08