/sci/ - Science & Math

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Anonymous Mon Nov 28 12:53:12 2011 No.4077529 [Reply] [Original]

What is the derivative w.r.t. x of x^(x+0.5) ?

Wolfram alpha says it's
d/dx(x^(x+0.5)) = x^(x-0.5) (x+x log(x)+0.5)

However If I use that then I get the wrong expression at the end of the question due to the 0.5x^(x-0.5) part not cancelling out when it's meant to.

is wolfram alpha wrong in this instance?
I can't remember how to differentiate x^x and related functions because I did it so long ago, and the text books I took a look at don't cover it as an example. Does anyone know how to properly differentiate this?

>>	Anonymous Mon Nov 28 12:58:44 2011 No.4077541 File: 46 KB, 726x563, 1321430529702.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon Nov 28 13:05:40 2011 No.4077576 nvm wolfram alpha is correct. I lost a term or something.

>>	GL !Bgpe2HycPk Mon Nov 28 13:27:14 2011 No.4077661 File: 23 KB, 400x300, costanzacancer.jpg [View same] [iqdb] [saucenao] [google] >>4077541

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