cp /math/calclab/MA1024/Pardiff_start_D10.mws My_Documents

Another way to access the getting started worksheet is to go to your computer's Start menu and choose run. In the run field type:

\\toaster\calclabwhen you hit enter, you can then choose MA1024 and then choose the worksheet

Pardiff_start_D10.mwsRemember to immediately save it in your own

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

at the point 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. Use plotting ranges , , .
- b)
- Find the derivative of in the plane.
- c)
- Find the equation of the tangent
**line**at the point in the plane. - d)
- Graph the two-dimensional intersection of the plane and along with the tangent line at . Be sure to use and ranges that are consistent with your ranges in part a.
- e)
- Does your two-dimensional graph look like the intersection from your tree-dimensional graph?

- Given:

- a)
- Find all points on the graph where the tangent plane is horizontal.
- b)
- Find the equation of each horizontal plane and plot them on the same graph as the function . Use plotting ranges , .

2010-03-31