See Student[Calculus1] for a general introduction to the Calculus1 subpackage of the Student package.

See SingleStepOverview for an introduction to the step-by-step (or single-step) functionality of the Calculus1 package.

The following table lists the built-in rules for differentiation that do not take parameters.  These rules can be passed as the index to Rule or as a rule argument to Understand.

The name of any univariate function can also be used as a rule argument to the Rule command.  The name of any univariate function recognized by Maple, for example, sin, can be passed as a rule argument to the Understand command (where recognized means that it is of type mathfunc).

There is one differentiation rule which requires a parameter: rewrite.  This rule can be used as the index to a call to Rule, but cannot be given as a rule argument to Understand.  This rule is used to change the form of the expression being differentiated.  It has the general form:

The effect of applying the rewrite rule is to perform each substitution listed as a parameter to the rule, where occurrences of the left-hand side of each substitution are replaced by the corresponding right-hand side.

The main application of this rule is to rewrite an expression of the form , where the exponent (at least) depends on the differentiation variable, as an exponential.  The rule would thus be given as:

Note: The Rule routine does not attempt to validate the rewrite rules you provide.

Creating problem #1

Error, (in Student:-Calculus1:-Rule[sum]) unable to determine which calculus operation is being applied in this problem; you can provide this information as the 2nd argument on your call to Rule or Hint

Creating problem #2

Creating problem #3

Rule [power] does not apply

Creating problem #4

Creating problem #5

The current problem is complete