Casio ClassPad 101 User's Guide download pdf (Page 65)

Chapter 2: Main Application 65

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 “

x ” when

“variable” is omitted.

Example: To differentiate

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.

∫

[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 =1

– 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

−

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.

[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

as the value of x changes from x = 1

through x =10

1 2 ... 60 61 62 63 64 65 66 67 68 69 70 ... 274 275

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Casio ClassPad 101 User's Guide Page 65

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