The DiffTutor is interactive tutor to walk through the stages of differentiation problems.  While walking through a problem, you can apply a rule, ask for a hint to the problem, display a full solution, or jump to the final answer all with the simple click of buttons.  To get further clarification to the particular rules, select the rule from the Rule Definition menu.  You can control what rules the Tutor will use: if students already understand a specific rule, select that rule from the Understood Rules menu.

Interactive tutors are also available for integration and limit problems using the IntTutor and LimitTutor respectively.  The following shows the results single-stepping through an indefinite integration problem.  To walk through the this integration problem with definite integration, such as  int(csch(x),x=.5..1.5), simply enter the integration limits .5 and 1.5 at the top of the tutor and press Start to start over.  See ?DiffTutor, ?IntTutor and ?LimitTutor for more information about the tutors.

In the step-by-step tutors, you can ask for a hint.  In the following example, the LimitTutor is used for the limit .  

In the Limit Tutor, click Get Hint.  The message is "Hint: is there any way of simplifying the numerator?"  You can then choose Factor or Next Step to do the factoring of the expression.

The ShowSolutions command will show all the steps to solve a problem, as well as record the rule or method used for each step.  The ShowSolutions command can be used on a single-variable differentiation, limit, or integration problem.

The derivative, limit, and integral entered in these examples appear in gray.  This indicates they are the inert form of the functions, corresponding to the Maple Diff, Limit, and Int commands.  Normally, Maple command would immediately evaluate the derivative (or limit or integral) before passing it to the ShowSolution command, so it is essential that the inert form be used.  To set this inert form in math notation, either type Diff and use command completion (e.g.,Tools > Complete Command) or enter the differentiation template from the Expression palette, and use the context menu to convert it to its inert form (e.g. 2-D Math>Convert To>Inert Form).

You can control what rules are understood, enabling you to control the level of detail, from elementary rules to more advanced methods.

For more information, see ShowSolution and Single Step Computations.

The CurveAnalysisTutor command launches a tutor interface that analyzes the graph of  on the interval . 

The TangentSecantTutor command launches a tutor interface that shows how the secant line between  and a point  on the graph of a function approaches a tangent line, as  approaches .

The MeanValueTheoremTutor command launches a tutor interface that illustrates the Mean Value Theorem applied to a function on an interval.  Change the interval and see the results.

The ApproximateIntTutor command launches a tutor interface that computes, plots, and animates approximated definite integrals of a function on an interval .

The VolumeOfRevolutionTutor displays the plot, interval, and area of the volume of revolution of a function where the axis of revolution can be either the horizontal or vertical axis.  The corresponding Maple command is displayed in the bottom of the maplet application.  Copy this command from the maplet application and paste the result into a Maple worksheet.

You can also view the graph of the Riemann sum approximation for specified number of partitions.

The TaylorApproximationTutor displays the Taylor Approximation of a function and allows you to animate the approximation.