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Here are some commonly used buttons in Derive 6.

Algebra Bar
Simplify
Simplify
Simplifies highlighted expression.
Approximate
Approximate
Approximates highlighted expression.
Solve
Solve
Solves highlighted equation.
Substitute
Substitute
Substitutes quantity for any variable in highlighted expression. 
Limit
Limit
Finds the limit of highlighted expression.
Differentiate
Differentiate
Differentiates highlighted expression.
Integrate
Integrate
Integrates highlighted equation.
Help
Online Help
Opens help window and allows user to browse through list of functions.
Plot Bar
Tile Vertically
Tile Vertically
Displays the algebra and plot windows side by side.

Embed
Embed
Inserts the graph from the plot window into the algebra window.
Delete
Delete
Deletes highlighted text in the algebra window and/or highlighted graphic in the plot window.
Plot
2D-plot Window
Opens a new plot window or brings an existing plot window to the front.

Displays graph in the plot window of a highlighted function in the algebra window.

Trace Plot
Trace Plots
Traces a given graph showing the coordinates in the lower left corner of the screen.

Up & Down keys will move cursor between multiple graphs.

Center on Cross
Center on Cross
Changes visible area of plot window so that the cross is at the center of the window.
Center on Origin
Center on Origin
Changes visible area of plot window so that the cross is at the axis origin of the window.
Zoom
Zoom
Enlarges or shrinks the graph size in the plot window.
Algebra Window
Algebra Window
Opens a new algebra window or brings an existing algebra window to the front.
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Derive 6 Manual
This PDF manual goes into more detail about the program (2.3MB).
Constants/Operators Bar
Operators
Most of these mathematical symbols should be familiar to you.
If you need additional help, use the online help button in Derive, or download the PDF manual.

Thanks to Kyle Ishibashi for his Derive overview and screen captures.