Determine the Special Points of a Function - Maple Programming Help

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Determine the Special Points of a Function

Description

Find the asymptotes, critical points, extreme points, points of inflection, and roots of a univariate function.

Define a univariate function

f:=x2x2+3x2x32x215x

f:=x→2x2+3x2x32x215x

(1)

Find the asymptotes of the function.

StudentCalculus1Asymptotesfx

y=0,x=3,x=0,x=5

(2)

Find the critical points of the function.

StudentCalculus1CriticalPointsfx

3,0,5

(3)

Find the extreme points of the function.

StudentCalculus1ExtremePointsfx

(4)

Find the points of inflection of the function.

StudentCalculus1InflectionPointsfx

3,0,5

(5)

Find the roots of the function.

StudentCalculus1Rootsfx

2,12

(6)

Commands Used

evalf, Student[Calculus1][Asymptotes], Student[Calculus1][CriticalPoints], Student[Calculus1][ExtremePoints], Student[Calculus1][InflectionPoints], Student[Calculus1][Roots]

See Also

plot, Student[Calculus1]


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