Calculation

diff

Differentiates an expression with respect to a specific variable.
Syntax: \(\displaystyle \frac{\mathrm d}{\mathrm d ■} □\), \(\displaystyle\frac{\mathrm d^□}{\mathrm d ■} □\)

impDiff

Differentiates an equation or expression in implicit form with respect to a specific variable.
Syntax: impDiff(Eq/Exp/List, independent variable, dependent variable)

Integrate

Integrates an expression with respect to a specific variable.
Syntax: \(\displaystyle \int_□^□ ■ d□\)

lim

Determines the limit of an expression.
Syntax: \(\displaystyle \lim_{■ \to □} (■)\)

sum

Evaluates an expression at discrete variable values within a range, and then calculates a sum.
Syntax: \(\displaystyle \sum_{■=□}^{□} (□)\)

prod

Evaluates an expression at discrete variable values within a range, and then calculates a product.
Syntax: \(\displaystyle \prod_{■=□}^{□} ■\)

rangeAppoint

Finds an expression or value that satisfies a condition in a specified range.
Syntax: rangeAppoint (Exp/Eq/List, start value, end value [ ) ]

• When using an equation (Eq) for the first argument, input the equation using the syntax Var = Exp. Evaluation will not be possible if any other syntax is used.

mod

Returns the remainder when one expression is divided by another expression.
Syntax: mod ({Exp/List} -1, {Exp/List} -2 [ ) ]

tanLine

Returns the right side of the equation for the tangent line (y = ‘expression’) to the curve at the specified point.
Syntax: tanLine (Exp/List, Variable, variable value at point of tangency [ ) ]

normal

Returns the right side of the equation for the line normal (y = ‘expression’) to the curve at the specified point.
Syntax: normal (Exp/List, Variable, variable value at point of normal [ ) ]

arcLen

Returns the arc length of an expression from a start value to an end value with respect to a specified variable.
Syntax: arcLen (Exp/List, Variable, start value, end value [ ) ]

fMin, fMax

Returns the minimum (fMin) / the maximum (fMax) point in a specific range of a function.
Syntax: fMin(Exp[, Variable] [ ) ]
　　fMin(Exp, Variable, start value, end value[, n] [ ) ]
　　fMax(Exp[, Variable] [ ) ]
　　fMax(Exp, Variable, start value, end value[, n] [ ) ]

• “\(x\)” is the default when you omit “[, Variable]”.
• Negative infinity and positive infinity are the default when the syntax fMin(Exp[, Variable] [ ) ] or fMax(Exp[, Variable] [ ) ] is used.
• “n” is calculation precision, which you can specify as an integer in the range of 1 to 9. Using any value outside this range causes an error.
• This command returns an approximate value when calculation precision is specified for “n”.
• This command returns a true value when nothing is specified for “n”. If the true value cannot be obtained, however, this command returns an approximate value along with n = 4.
• Discontinuous points or sections that fluctuate widely can adversely affect precision or even cause an error.
• Inputting a larger number for “n” increases the precision of the calculation, but it also increases the amount of time required to perform the calculation.
• The value you input for the end point of the interval must be greater than the value you input for the start point. Otherwise an error occurs.

gcd

Returns the greatest common denominator of two expressions.
Syntax: gcd (Exp/List-1, Exp/List-2 [ ) ]

lcm

Returns the least common multiple of two expressions.
Syntax: lcm (Exp/List-1, Exp/List-2 [ ) ]

denominator

Extracts the denominator of a fraction.
Syntax: denominator (Exp/List [ ) ]

numerator

Extracts the numerator of a fraction.
Syntax: numerator (Exp/List [ ) ]