Using the Calculation Submenu

The [Calculation] submenu contains calculus related commands, such as “diff” (differentiation) and “ ” (integration).

udiff [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 “x” when “variable” is omitted.

Example: To differentiate x6 with respect to x

uimpDiff [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)

Example: To find y’ 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 [,tol ] [ ) ]

•“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 “tol ”.

•This command returns the true value of a definite interval when nothing is specified for “tol ”. If the true value cannot be obtained, however, this command returns an

approximate value along with tol =1E – 5.

Example: To integrate x with respect to x

ulim [Action][Calculation][lim]

Function: Determines the limit of an expression.

Syntax: lim (Exp/List, variable, point [,direction] [ ) ]

Example: To determine the limit of e−x as x approaches ∞

•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.

uΣ [Action][Calculation][Σ]

Function: Evaluates an expression at discrete variable values within a range, and then calculates a sum.

Syntax: Σ(Exp/List, variable, lower value, upper value [ ) ]

Example: To calculate the sum of x2 as the value of x changes from x = 1 through x =10

Chapter 2: Main Application

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