fx-9860GII      TI-83

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fMin

On a TI calculator you can calculate the function minimum

MATH	6	fMin(		expression		٬
				variable		٬
				lower		٬
				upper		٬
				tolerance		)		ENTER

or via the CATALOG as

	CATALOG⎵
2nd		0		►fMin(		ENTER

 

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Explanation

The syntax for a minimum value command is

fMin( f (v), v, l, u, t)

where

f (x)	expression
v	variable
l	lower value
u	upper value
t	tolerance (default = 1E -5)

 

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Example 1

To determine the minimum value for the function x² − 4x + 9

MATH

6

fMin(

X,T,θ,n

x²

−

4

X,T,θ,n

+

9

٬

with variable x

X,T,θ,n

٬

in the interval defined by lower value l = 0

0

٬

and upper value u = 3

3

)

ENTER

This gives

fMin(X2-4X+9,X,0 ,3) 1.999998593

You can calculate x² − 4x + 9 = (x − 2)² + 5 so the minimum is at x = 2.

 

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