Casio fx-9750G Manual
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Casio fx-9750G Manual

Casio fx-9750G Manual

3. solve, differential/quadratic differential, integration, maximum/minimum value, and calculations
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See also: User Manual , Manual
Solve, Differential/Quadratic
Differential, Integration,
Maximum/Minimum Value,
and Calculations
3-1
Function Analysis Menu
3-2
Solve Calculations
3-3
Differential Calculations
3-4
Quadratic Differential Calculations
3-5
Integration Calculations
3-6
Maximum/Minimum Value Calculations
3-7
Calculations
Chapter
3

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Summary of Contents for Casio fx-9750G

  • Page 1 Chapter Solve, Differential/Quadratic Differential, Integration, Maximum/Minimum Value, and Calculations Function Analysis Menu Solve Calculations Differential Calculations Quadratic Differential Calculations Integration Calculations Maximum/Minimum Value Calculations Calculations...

  • Page 2: Function Analysis Menu

    3-1 Function Analysis Menu The following describes the items that are available in the menus you use when performing Solve, differential/ quadratic differential, integration, maximum/minimum value, and calculations. When the option menu is on the display, press 4 (CALC) to display the function analysis menu.

  • Page 3: Solve Calculations

    3-2 Solve Calculations To solve calculations, first display the function analysis menu, and then input the f(x) values shown in the formula below to determine root values in the function P.64 f(x) 1(Solve) Initial estimate value Upper limit Lower limit With Solve calculations, the root of a function is determined using Newton’s method.
  • Page 4 3 - 2 Solve Calculations Input initial estimated value Input lower limit and upper limit a,b) f(x) • In the function , only X can be used as a variable in expressions. Other vari- ables (A through Z, , ) are treated as constants, and the value currently as- signed to that variable is applied during the calculation.

  • Page 5: Differential Calculations

    3-3 Differential Calculations • To perform differential calculations, first display the function analysis menu, and then input the values shown in the formula below. P.64 f(x) Increase/decrease of Point for which you want to determine the derivative ––– f (a) d/dx ( f (x), a, x) The differentiation for this type of calculation is defined as: f (a + x) –...
  • Page 6 3 - 3 Differential Calculations This average, which is called the central difference , is expressed as: f (a + x) – f (a) f (a) – f (a – x) f '(a) = –– –––––––––– ––– + –––––––––– ––– f (a + x) –...
  • Page 7 3 - 3 Differential Calculations k k k k k Applications of Differential Calculations • Differentials can be added, subtracted, multiplied and divided with each other. ––– f (a) = f '(a), ––– g (a) = g'(a) Example Therefore: f '(a) + g'(a), f '(a) g'(a) •...

  • Page 8: Quadratic Differential Calculations

    3-4 Quadratic Differential Calculations After displaying the function analysis menu, you can input quadratic differentials using either of the two following formats. P.64 f(x) Final boundary ( = 1 to 15) Differential coefficient point ––– ( f (x), a, n) –––...
  • Page 9 3 - 4 Quadratic Differential Calculations Input 3 as point , which is differential coefficient point. Input 6 as , which is final boundary. f(x) • In the function , only X can be used as a variable in expressions. Other vari- ables (A through Z, , ) are treated as constants, and the value currently as- signed to that variable is applied during the calculation.

  • Page 10: Integration Calculations

    3-5 Integration Calculations To perform integration calculations, first display the function analysis menu, and then input the values shown in the formula below. P.64 4( dx) f(x) , Number of Divisions (value for in N = 2 is an integer from 1 through 9) End Point Start Point f (x), a, b, n)
  • Page 11 3 - 5 Integration Calculations u u u u u To perform an integration calculation Example To perform the integration calculation for the function + 3x + 4) dx f (x) Input the function AK4(CALC)4( )cvx +dv+e, Input the start point and end point. b,f, Input the number of divisions.
  • Page 12 3 - 5 Integration Calculations • Note that you cannot use a Solve, differential, quadratic differential, integration, maximum/minimum value or calculation expression inside of an integration cal- culation term. • Pressing A during calculation of an integral (while the cursor is not shown on the display) interrupts the calculation.

  • Page 13: Maximum/Minimum Value Calculations

    3-6 Maximum/Minimum Value Calculations After displaying the function analysis menu, you can input maximum/minimum cal- culations using the formats below, and solve for the maximum and minimum of a P.64 function within interval < < u u u u u Minimum Value 6(g)1(FMin) f(x) , Precision ( = 1 ~ 9)
  • Page 14 3 - 6 Maximum/Minimum Value Calculations Example 2 To determine the maximum value for the interval defined by start a = 0 b = 3 n = 6 point and end point , with a precision of for the y = –x + 2x + 2 function f(x)
  • Page 15 Calculations To perform calculations, first display the function analysis menu, and then input the values shown in the formula below. 6(g)3( () Distance between partitions Last term of sequence { Initial term of sequence { Variable used by sequence { , k, , , n) = calculation is the calculation of the partial sum of sequence { }, using the follow-...
  • Page 16 3 - 7 Calculations • You can use only one variable in the function for input sequence { • Input integers only for the initial term of sequence { } and last term of sequence • Input of and the closing parentheses can be omitted. If you omit , the calcula- tor automatically uses = 1.

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