Casio ClassPad II fx-CP400 - Manual (Page 65)

Chapter 2: Main Application 65
Using the Calculation Submenu
The [Calculation] submenu contains calculus related commands, such as “diff” (differentiation) and “ Ⱥ ”
(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 “ x ” when
“variable” is omitted.
Example: To differentiate x 6 with respect to x
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 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][ Ⱥ ]
Function: Integrates an expression with respect to a specific variable.
Syntax: Ⱥ (Exp/List[,variable] [ ) ]
Ⱥ (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 =1
E
– 5.
Example: To integrate x with respect to x
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 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.
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 x 2 as the value of x changes from x = 1
through x =10