User Guide
Page 60
... the answer Chapter 2: Math, Angle, and Test Operations 57 Displays the equation solver. 4Frac, 4Dec 4Frac (display as a fraction) displays an answer as a decimal. 3: 3 Calculates the cube. 4: 3‡( Calculates the cube root. 5: x‡ Calculates the xth root. 6: fMin( Finds the minimum of a function. 7: fMax( Finds the maximum of a function. 8: nDeriv( Computes the numerical...
... the answer Chapter 2: Math, Angle, and Test Operations 57 Displays the equation solver. 4Frac, 4Dec 4Frac (display as a fraction) displays an answer as a decimal. 3: 3 Calculates the cube. 4: 3‡( Calculates the cube root. 5: x‡ Calculates the xth root. 6: fMin( Finds the minimum of a function. 7: fMax( Finds the maximum of a function. 8: nDeriv( Computes the numerical...
User Guide
Page 63
You can return a false derivative value at which approximates the numerical derivative value as the slope of the secant line through these points. Because of the method used to calculate nDeriv(, the TI-84 Plus can use nDeriv( once in expression. Chapter 2: Math, Angle, and Test Operations 60 nDeriv( is 1âL3). f′(x) = -f--(--x 2----ε---f--(---x As H becomes smaller...
You can return a false derivative value at which approximates the numerical derivative value as the slope of the secant line through these points. Because of the method used to calculate nDeriv(, the TI-84 Plus can use nDeriv( once in expression. Chapter 2: Math, Angle, and Test Operations 60 nDeriv( is 1âL3). f′(x) = -f--(--x 2----ε---f--(---x As H becomes smaller...
User Guide
Page 129
.... To evaluate a selected function at X, follow these steps. Finds a numeric derivative of a function. Finds a zero (x-intercept) of a function. Chapter 3: Function Graphing 126 Finds an intersection of a function. Finds a numeric integral of two functions. Using the CALC (Calculate) Operations CALCULATE Menu To display the CALCULATE menu, press y /. CALCULATE 1: value 2: zero 3: minimum 4: maximum 5: intersect 6: dy/dx 7: ‰f(x)dx...
.... To evaluate a selected function at X, follow these steps. Finds a numeric derivative of a function. Finds a zero (x-intercept) of a function. Chapter 3: Function Graphing 126 Finds an intersection of a function. Finds a numeric integral of two functions. Using the CALC (Calculate) Operations CALCULATE Menu To display the CALCULATE menu, press y /. CALCULATE 1: value 2: zero 3: minimum 4: maximum 5: intersect 6: dy/dx 7: ‰f(x)dx...
User Guide
Page 133
To restore the free-moving cursor, press |, }, ~, or †. Select 6:dy/dx from the CALCULATE menu. Second curve? To find the numerical derivative. Press } or † to select the function for which you want to find a function's slope at a point,...the cursor to location of a function at a point, follow these steps. 1. Chapter 3: Function Graphing 130 dy/dx dy/dx (numerical derivative) finds the numerical derivative (slope) of the intersection, and then press Í. The current graph is displayed in the bottom-left corner. Intersection is displayed. 2. 2.
To restore the free-moving cursor, press |, }, ~, or †. Select 6:dy/dx from the CALCULATE menu. Second curve? To find the numerical derivative. Press } or † to select the function for which you want to find a function's slope at a point,...the cursor to location of a function at a point, follow these steps. 1. Chapter 3: Function Graphing 130 dy/dx dy/dx (numerical derivative) finds the numerical derivative (slope) of the intersection, and then press Í. The current graph is displayed in the bottom-left corner. Intersection is displayed. 2. 2.
User Guide
Page 134
To move the cursor to the function for which to calculate the derivative, and then press Í. It uses the fnInt( function, with Lower Limit? Press } or † to move to calculate the integral. To restore the free-moving cursor, press | or ~. ‰f(x)dx ‰...the numerical integral of a function in the bottom-left corner. 2. The current graph is displayed. Select 7:‰f(x)dx from the CALCULATE menu. Chapter 3: Function Graphing 131 3. The cursor is on the solution and the numerical derivative is displayed with a tolerance of H=1âL3. Press | or ~ (or...
To move the cursor to the function for which to calculate the derivative, and then press Í. It uses the fnInt( function, with Lower Limit? Press } or † to move to calculate the integral. To restore the free-moving cursor, press | or ~. ‰f(x)dx ‰...the numerical integral of a function in the bottom-left corner. 2. The current graph is displayed. Select 7:‰f(x)dx from the CALCULATE menu. Chapter 3: Function Graphing 131 3. The cursor is on the solution and the numerical derivative is displayed with a tolerance of H=1âL3. Press | or ~ (or...
User Guide
Page 505
Press z. Xmin=.01 Xmax=10 Xscl=1 Ymin=L1.5 Ymax=2.5 Yscl=1 Xres=3 3. Chapter 17: Activities 502 Set the graph style for Y1 to ç (line) and Y2 to X and the function ln(X). Select the default settings. 2. Press p. Press o. Enter the ...( from 1 to ë (path). Turn off all functions and stat plots. Demonstrating the Fundamental Theorem of 1àT from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that: x F(x) = ∫ dt = ln (x), x > 0 and that 1 Dx ∫1x1-t-dt = 1-x Procedure 1 1. Set the viewing ...
Press z. Xmin=.01 Xmax=10 Xscl=1 Ymin=L1.5 Ymax=2.5 Yscl=1 Xres=3 3. Chapter 17: Activities 502 Set the graph style for Y1 to ç (line) and Y2 to X and the function ln(X). Select the default settings. 2. Press p. Press o. Enter the ...( from 1 to ë (path). Turn off all functions and stat plots. Demonstrating the Fundamental Theorem of 1àT from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that: x F(x) = ∫ dt = ln (x), x > 0 and that 1 Dx ∫1x1-t-dt = 1-x Procedure 1 1. Set the viewing ...
User Guide
Page 506
Press r. Press o. Press r. Press |, }, ~, and † to compare the values of 1àX and the function 1àX. 4. Turn off Y1 and Y2, and then enter the numerical derivative of the integral of Y1 and Y2. 5. Chapter 17: Activities 503 Set the graph style for Y3 to ç (line) and Y4 to compare the values of the two graphed functions, Y3 and Y4. Again, use the cursor keys to è (thick). 6.
Press r. Press o. Press r. Press |, }, ~, and † to compare the values of 1àX and the function 1àX. 4. Turn off Y1 and Y2, and then enter the numerical derivative of the integral of Y1 and Y2. 5. Chapter 17: Activities 503 Set the graph style for Y3 to ç (line) and Y4 to compare the values of the two graphed functions, Y3 and Y4. Again, use the cursor keys to è (thick). 6.
User Guide
Page 507
Problem 2 Explore the functions defined by a constant. 4. Store the function in Y6. Notice that the functions appear identical, only shifted vertically by y = ∫ xt2dt , ∫ xt2dt , and ∫ xt2dt 2 0 2 Procedure 2 1. Enter the numerical derivative of Y5 in Y5. 2. Press o. Press q 6 to define these three functions simultaneously. Use a list to select 6:ZStandard. 3. Press o. Turn off all functions and stat plots. Chapter 17: Activities 504 Press r.
Problem 2 Explore the functions defined by a constant. 4. Store the function in Y6. Notice that the functions appear identical, only shifted vertically by y = ∫ xt2dt , ∫ xt2dt , and ∫ xt2dt 2 0 2 Procedure 2 1. Enter the numerical derivative of Y5 in Y5. 2. Press o. Press q 6 to define these three functions simultaneously. Use a list to select 6:ZStandard. 3. Press o. Turn off all functions and stat plots. Chapter 17: Activities 504 Press r.
User Guide
Page 508
5. Chapter 17: Activities 505 Press r. Notice that although the three graphs defined by Y5 are different, they share the same derivative.
5. Chapter 17: Activities 505 Press r. Notice that although the three graphs defined by Y5 are different, they share the same derivative.
User Guide
Page 595
...; PRB 3:nCr Returns a list of the combinations of each element in listA taken each element in listB at a time. PRB 3:nCr Returns approximate numerical derivative of expression with respect to variable at value, with specified H. MATH 8:nDeriv( Computes the nominal interest rate. Œ 1:Finance CALC B:4Nom( Sets normal display...
...; PRB 3:nCr Returns a list of the combinations of each element in listA taken each element in listB at a time. PRB 3:nCr Returns approximate numerical derivative of expression with respect to variable at value, with specified H. MATH 8:nDeriv( Computes the nominal interest rate. Œ 1:Finance CALC B:4Nom( Sets normal display...
User Guide
Page 677
... angle mode 22, 84, 573 degrees notation 85, 620 delete variable contents (DelVar) . . . 446, 573 deleting items from memory 519 DependAsk 177, 180, 573 DependAuto 177, 180, 573 derivative See numerical derivative . . . 52... det( (determinant 237, 573 determinant (det 237 determinant (det 573 DiagnosticOff 304, 573 DiagnosticOn 304, 574 diagnostics display mode(r, r2, R2) . . 304 differentiation 61, 130, 143, 151 dim( (dimension 238, 260, 574 dimensioning a list or matrix . . 238, 260, 574 Disp (display 450, 574 DispGraph (display graph...
... angle mode 22, 84, 573 degrees notation 85, 620 delete variable contents (DelVar) . . . 446, 573 deleting items from memory 519 DependAsk 177, 180, 573 DependAuto 177, 180, 573 derivative See numerical derivative . . . 52... det( (determinant 237, 573 determinant (det 237 determinant (det 573 DiagnosticOff 304, 573 DiagnosticOn 304, 574 diagnostics display mode(r, r2, R2) . . 304 differentiation 61, 130, 143, 151 dim( (dimension 238, 260, 574 dimensioning a list or matrix . . 238, 260, 574 Disp (display 450, 574 DispGraph (display graph...
User Guide
Page 686
... 322 not equal to 88, 622 not( (Boolean operator 91, 593 nPr (permutations 80, 593 npv( (net present value 398, 593 numerical derivative . . 60, 130, 143, 151 numerical integral 60, 131 O Omit 538, 560 one-proportion z confidence interval (1-PropZInt 357, 597 one-...P4Ry( (polar-to-rectangular conversions 86, 599 panning 117 Par/Param (parametric graphing mode) . 23 594 parametric equations 138 parametric graphing CALC (calculate operations on a graph 143 defining and editing 138 free-moving cursor 141 graph format 139 graph styles 137 moving the cursor to a value . . . . 142 ...
... 322 not equal to 88, 622 not( (Boolean operator 91, 593 nPr (permutations 80, 593 npv( (net present value 398, 593 numerical derivative . . 60, 130, 143, 151 numerical integral 60, 131 O Omit 538, 560 one-proportion z confidence interval (1-PropZInt 357, 597 one-...P4Ry( (polar-to-rectangular conversions 86, 599 panning 117 Par/Param (parametric graphing mode) . 23 594 parametric equations 138 parametric graphing CALC (calculate operations on a graph 143 defining and editing 138 free-moving cursor 141 graph format 139 graph styles 137 moving the cursor to a value . . . . 142 ...