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Re: Plot of (2 x^2 - x^3)^(1/3)

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  • Subject: [mg112090] Re: Plot of (2 x^2 - x^3)^(1/3)
  • From: Bernard <bernard.vuilleumier at edu.ge.ch>
  • Date: Mon, 30 Aug 2010 06:18:55 -0400 (EDT)

Thank you very much,

I conclude that Piskounov use another convention for the root z^(1/3). 
He gives, for the graph of (2 x^2 - x^3)^(1/3) what I obtain with :

Plot[Piecewise[{{(2 x^2 - x^3)^(1/3), x <= 2}, {-Re[(2 x^2 - 
x^3)^(1/3)],  x > 2}}], {x, -1, 3}]

See : Calcul Differentiel et integral, N. Piskounov, Editions
MIR, Moscou 1970, on p. 210

Best Regards=


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