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Superfluous step in W|A step-by-step of implicit differentiation

Posted 7 months ago

Hello. Invoking:

derivative of x^x

and clicking on step-by-step, right near the end there is a superfluous step of "Solving for y'(x) ..." where y(x) is incorrectly multiplied on the right hand side only. Anyone notice this? Any workaround? Thanx.

POSTED BY: Aaron Naiman
6 Replies

This produces the misstep you describe and a wrong answer in Mathematica:

WolframAlpha["derivative of x^x", {{"Input", 2}, "Content"}, 
 PodStates -> {"Input__Step-by-step solution"}]

(*  y^\[Prime](x)==x^x (1+log(x)) y(x)  *)
POSTED BY: Michael Rogers
Posted 7 months ago

Yes, this is exactly how I invoked the Wolfram|Alpha step-by-step solution.

POSTED BY: Aaron Naiman
POSTED BY: Gianluca Gorni
Posted 7 months ago

Thank you.

Interesting how Wolfram|Alpha gets it wrong, and the Assistant gets it right. Hmm.

POSTED BY: Aaron Naiman

Vaguely, it is the kind of error I would expect of AI, not of W|A. However, the Notebook Assistant gives a correct derivation.

POSTED BY: Gianluca Gorni
Posted 7 months ago

Thanx. As I do not (yet) have the Notebook Assistant, would you please show the output you got?

POSTED BY: Aaron Naiman
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