Maintenance script: Automated superscript correction

2016-02-24T22:24:49Z

Automated superscript correction

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	fMax(''f''(''var''),''var'',''lo'',''hi''[,''tol'']) finds the value of ''var'' between ''lo'' and ''hi'' at which the maximum of ''f''(''var'') occurs. ''tol'' controls the accuracy of the maximum value computed. The default value of ''tol'' is 10^^-5^^.		fMax(''f''(''var''),''var'',''lo'',''hi''[,''tol'']) finds the value of ''var'' between ''lo'' and ''hi'' at which the maximum of ''f''(''var'') occurs. ''tol'' controls the accuracy of the maximum value computed. The default value of ''tol'' is 10<sup>-5</sup>.

	fMax( only works for real numbers and expressions. Brent's method for optimization is used for approximating the maximum value.		fMax( only works for real numbers and expressions. Brent's method for optimization is used for approximating the maximum value.

Maintenance script: Initial automated import

2016-02-24T18:27:22Z

Initial automated import

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{{Template:TI-BASIC:Command
|picture=FMAX.GIF
|summary=Calculates the local maximum of a function.
|syntax=fMax(''f''(''var''),''var'',''lo'',''hi''[,''tol''])
|location=While editing a program, press:
# MATH to open the [[TI-BASIC:Math|Math]] menu
# 7 or use arrow keys to select
|compatibility=TI-83/84/+/SE
|size=1 byte
}}

fMax(''f''(''var''),''var'',''lo'',''hi''[,''tol'']) finds the value of ''var'' between ''lo'' and ''hi'' at which the maximum of ''f''(''var'') occurs. ''tol'' controls the accuracy of the maximum value computed. The default value of ''tol'' is 10^^-5^^.

fMax( only works for real numbers and expressions. Brent's method for optimization is used for approximating the maximum value.

fMax(sin(X)cos(X),X,0,3)
.7853995667

Keep in mind that the result is the value of ''var'', and not the value of ''f(var)''. In this example, .7853995667 is not the highest possible value of sin(X)cos(X), but rather the X-value at which sin(X)cos(X) is the highest.

= Error Conditions =

* '''[[TI-BASIC:Errors#bound|ERR:BOUND]]''' is thrown if the lower bound is greater than the upper bound.
* '''[[TI-BASIC:Errors#domain|ERR:DOMAIN]]''' is thrown if ''tol'' is 0.
* '''[[TI-BASIC:Errors#tolnotmet|ERR:TOL NOT MET]]''' is thrown if the tolerance is too small for this specific function.

= Related Commands =

* [[TI-BASIC:Fmin|FMin(]]
* [[TI-BASIC:Fnint|FnInt(]]
* [[TI-BASIC:Nderiv|NDeriv(]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:Fmax - Revision history

Maintenance script: Automated superscript correction

Maintenance script: Initial automated import