Complete study of a function
A complete study of a function is performed
Enter the expression of the function WITHOUT entering y=
To enter the expressions you must use the app keyboard
Only certain functions appear on the keyboard by default. To display the keys related to the other functions, press the red keys (fn...for other functions).
By inserting the functions via the app keyboard, the names of the functions (eg sqrt () for the square root) will be inserted in the input box. Once the function has been entered, the cursor will be positioned within the round brackets (sqrt(|)) in order to write the function argument, e.g. √5 write sqrt (5).
The piecewise functions must be written according to the following example:
After giving the command Calculate using the appropriate button, the following results are shown;
1) Study of the domain (conditions, result and graph)
2) Study of the Sign of the Function (graph in the Cartesian coordinate system together with that of the domain)
3) Limits and asymptotes
4) First derivative and its study of sign and consequent deduction of growth, decreasing and relative maxima and minima
5) Study of the relative maximum and minimum through the method of the higher derivatives
6) Calculation of the second derivative and study of the concavity, downward and concavity upward and the points of inflection
7) Calculation of the tangents in the possible inflection points to an oblique tangent
8) Panoramic graph of the function (so that it contains the main parts of the graph without necessarily respecting the proportions)
9) Detailed graph of the function where all the determined points in the study are shown (2 graphs are given one with 1: 1 proportions for the x and y axes and the other only to display all the determined points without necessarily respecting the proportions)
To obtain the complete study the system takes some time (generally a few seconds) depending on the complexity of the function so wait until you see the result appear
