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Using the Calculation Submenu
The [Calculation] submenu contains calculus related commands, such as "diff" (differentiation) and " "
(integration).
u diff [Action][Calculation][diff]
Function: Differentiates an expression with respect to a specific variable.
Syntax: diff(Exp/List[,variable] [ ) ]
diff(Exp/List,variable,order[,a] [ ) ]
• "a" is the point for which you want to determine the derivative.
• "order" = 1 when you use the following syntax: diff(Exp/List[,variable][ ) ]. The default variable is "
"variable" is omitted.
Example: To differentiate
u impDiff [Action][Calculation][impDiff]
Function: Differentiates an equation or expression in implicit form with respect
to a specific variable.
Syntax: impDiff(Eq/Exp/List, independent variable, dependent variable)
y
Example: To find
' using implicit differentiation
Important!
The derivative symbol (') cannot be used in the argument of "impDiff(". Trying to use a derivative symbol
would result in a Wrong Argument Type error.
u ∫ [Action][Calculation][ ]
Function: Integrates an expression with respect to a specific variable.
Syntax: (Exp/List[,variable] [ ) ]
(Exp/List, variable, lower limit, upper limit [,
x
• "
" is the default when you omit [,variable].
tol
• "
" represents the allowable error range.
• This command returns an approximate value when a range is specified for "
• This command returns the true value of a definite interval when nothing is specified for "
value cannot be obtained, this command performs approximate calculation using
approximate value can be obtained, that value is returned. An error message is returned if an approximate
value cannot be obtained or if the calculation itself is not possible for some
reason.
Example: To integrate
u lim [Action][Calculation][lim]
Function: Determines the limit of an expression.
Syntax: lim (Exp/List, variable, point [,direction] [ ) ]
Example: To determine the limit of
• This function returns the limit from the left when "direction" < 0, the limit from the right when "direction" > 0,
and the limit from both sides (left and right) when "direction" = 0 or when the direction is omitted.
x
x
6
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tol
] [ ) ]
∞
tol
".
tol
". If a true
tol
= 1
– 5. If an
E
Chapter 2: Main Application 67
x
" when
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