\\storage\academics\math\calclab

when you hit enter, you can then choose MA1024 and then choose the worksheet

Pardiff_start_B14.mw

Remember to immediately save it in your own home directory. Once you've copied and saved the worksheet, read through the background on the internet and the background of the worksheet before starting 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

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

- a)
- Plot the function and the plane on the same graph. Use intervals , , .
- b)
- Find the derivative of in the plane. Evaluate this derivative at and then find the equation of the line tangent to the two-dimensional intersection of the plane and at the point .
- c)
- Plot the tangent line and the two-dimensional intersection of the plane and on the same graph. Be sure to use and ranges that are consistent with your ranges in part a.
- d)
- Does your two-dimensional graph look like the intersection from your three-dimensional graph? Be sure to use the same ranges to properly compare and rotate the 3-D graph.

- Find the equation of the plane tangent to

at the point . Plot the function and the tangent plane over the intervals and and rotate the plot so that you can see that the plane is tangent.

2014-11-10