Differentiation learning aiding apparatus and storage medium
AssigneeCasio Computer Co., Ltd.
InventorTomohiro Sudoh
Life of this patent
Estimating the term…
Abstract
A function f(x) input to an input device is differentiated to provide a derivative f′(x) and the derivative is further differentiated to provide a second derivative f″(x) in accordance with a predetermined program stored in a ROM or memory device. Data of an increase-decrease table for the function f(x) is produced based on positive and negative signs of values of the f′(x) and f″(x) in a given domain, and then stored in RAM. Then, the table is displayed on a display device based on the table data.
Claims10
An electronic apparatus comprising;
- function setting means for setting a function;
- first-order differentiating means for differentiating the function set by the function setting means to provide a first-derivative;
- increase-decrease table data producing means for producing increase-decrease table data for displaying an increase-decrease table which contains an increase-decrease state of the function set by the function setting means, and positive and negative signs of values of the first-derivative function obtained by the first-order differentiating means, in predetermined domains;
- and
- displaying means for displaying the increase-decrease table on the basis of the increase-decrease table data produced by the increase-decrease table data producing means.
An electronic apparatus comprising:
- function setting means for setting a plurality of functions;
- supposing means for setting domains for the plurality of functions set by the function setting means and for supposing the relationship in magnitude between the plurality of functions in the domain;
- function producing means for producing a new function representing a difference between the plurality of functions in accordance with the relationship in magnitude between the plurality of functions supposed by the supposing means;
- differentiating means for differentiating the new function produced by function producing means to provide a first derivative and for differentiating the first derivative to obtain a second derivative;
- increase-decrease table data producing means for producing increase-decrease table data which displays an increase-decrease table which contains the positive and negative signs of values of the first and second derivatives in the domain set by the supposing means, and the increase-decrease state of the new function;
- determining means for determining whether or not the relationship in magnitude between the plurality of functions supposed by the supposing means is correct by referring to the increase-decrease state of the new function, in the increase-decrease table data produced by the increase-decrease table data producing means, on the basis of the increase-decrease state of the new function;
- and
- displaying means for displaying the increase-decrease table on the basis of the increase-decrease table data produced by the increase-decrease table data producing means, and for displaying a result of the determination by the determining means.
A storage medium which contains a computer executable program comprising:
- a program code for setting a function;
- a program code for differentiating the function to obtain a first-derivative;
- a program code for producing increase-decrease table data to display an increase-decrease table which contains an increase-decrease state of the function, and positive and negative signs of values of the first-derivative, in predetermined domains;
- and
- a program code for causing displaying means to display the increase-decrease table on the basis of the increase-decrease table data.
A storage medium which contains a computer executable program comprising:
- a program code for setting a plurality of functions;
- a program code for setting domains of the plurality of functions and for supposing the relationship in magnitude between the plurality of functions in the domains;
- a program code for producing a new function representing a difference between the plurality of functions in accordance with the supposed relationship in magnitude;
- a program code for differentiating the new function to obtain a first derivative and for further differentiating the first derivative to obtain a second derivative;
- a program code for producing increase-decrease table data for displaying an increase-decrease table which contains positiveness and negativeness of values of the first and second derivatives, and the increase-decrease state of the new function, in the set domains;
- a program code for determining whether or not the relationship in magnitude between the plurality of functions is correct, by referencing the increase-decrease state of the new function in the increase-decrease table data;
- and
- a program code for displaying the increase-decrease table on the basis of the increase-decrease table data, and a result of the determination by the determining means.
Dependencies are inferred from the claim text.