Using The Calculation Submenu - Casio fx-CP400 User Manual

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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 " " when
"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)
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 [,
• " " is the default when you omit [,variable].
• "
" 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 "
cannot be obtained, however, this command returns an
approximate value along with
Example: To integrate with respect to
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.
u Σ [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
through =10
6
with respect to
=1
– 5.
E
as approaches
2
as the value of changes from = 1
] [ ) ]
Chapter 2: Main Application
".
". If the true value
65

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