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Фрагмент инструкции
The default variable is “x” when “variable” is omitted. Example: To differentiate x6 with respect to x Menu Item: [Action][Calculation][diff] Idiff 6-x' Example: To find the second derivative of x6 with respect to x Menu Item: [Action][Calculation][diff] diffCjrA6,jr,2) Example: To find the second derivative of x6 with respect to x at x = 3 Menu Item: [Action][Calculation][diff] 2430 • 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 Menu Item: [Action][Calculation][impDiff] impDiff Î3L+y=ï/y j x, y) -y2 y’=—2— + y2+x Example: To find y” given y’ = -x/y Menu Item: [Action][Calculation][impDiff] Example: To find y’ for a list of equations Menu Item: [Action][Calculation][impDiff] impDif f « y A2-ï A2=3, y/*= 1 /y-~-2 Ï, *, y > , x v4 y’=-,y’= 2-x2+x-y3 2006030- 2-8-14 Using the Action Menu ' I 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 e - 5. Example: To integrate x with respect to x Menu Item: [Action][Calculation][/] Example: To integrate- - with respect to x between x = 1 and x = 2 ' x X ln(x) Menu Item: [Action][Calculation][y] 1,2: Example: To integrate 2x2 + 3x + 4 with respect to x between x = 1 and x = 5, with an allowable error range of 1e - 4 Menu Item: [Action][Calculation][/] /<2j*"'2+3*'+4,j*', 1,5, 1e-4> 134.6666667 2006030- 2-8-15 Using the Action Menu • 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 ~ Menu Item: [Action][Calculation][lim] Example: To determine the limit of Mx as x approaches 0 from the right Menu Item: [Action][Calculation][lim] Example: To determine the limit of Mx as x approaches 0 from the left Menu Item: [Action][Calculation][lim] ■ 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. Function: Evaluates an expression at discrete variable values within a range, and then calculates a sum. Syntax: £(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. Menu Item: [Action][Calculation][£] 385 • n Function: Evaluates an expression at discrete variable values within a range, and then calculates a product. Syntax: n(Exp/List, variable, lower value, upper value [ ) ] Example: To calculate the product of x2 as the value of x changes from x = 1 through x = 5 Menu Item: [Action][Calculation][n] ljS) 14400 2006030- 2-8-16 Using the Action Menu • rangeAppoint Function: 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. Example: To find the expression(s) in the list {x = n, x = 2n, x = 3n} that belong(s) to the closed range 0 S x S 5 Menu Item: [Action][Calculation] [rangeAppoint] rangeRppointii *"=2x111 *r=3xjiïJ 0j 5) ix=nj Example: To find the V that satisfies the condition 0S«xnS5 Menu Item: [Action][Calculation][rangeAppoint] rangeAppointiconstni 1 >xji, 0, 5) {0j Ji} I • mod Function: Returns the remainder when one expression is divided by another expression. Syntax: mod ({Exp/List} -1, {Exp/List} -2 [ ) ] Example: To determine the remainder when 26 is divided by 3 (26mod3) Menu Item: [Action][Calculation][mod] mod(26j 3) • tanLine Function: 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 [ ) ] Example: To determine the function of the line tangent to y = x3 at x = 2 Menu Item: [Action][Calculation][tanLine] tanLine