Ortskurve der Extrema?

Die funktion lautet a/x + x dabei ist a größer 0

Wie bestimme ich die ortskruve der Extrema? Bei der Ableitung wird ja x zur 1??

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Willy1729
1 year ago

Hello,

the derivation of a/x is -a/x2, which is of x 1.

The derivation is thus -a/x2+1.

Set zero gives a=x2.

x2 for using a in the function equation gives x2/x+x=x+x=2x.

g(x)=2x is the location curve of the Extrema.

Best regards,

Willy

Halbrecht
1 year ago
Reply to  Noma643

where does the x2 come from in -a/x2?

Willy1729
1 year ago
Reply to  Noma643

I did. The derivation of a/x is -a/x2.