Derivative function. Is the book wrong?

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Discussion Overview

The discussion revolves around the differentiation of the function \(\frac{2}{\sqrt[3]{x}}\) and whether the solution provided in a textbook is correct. Participants are examining the derivative and comparing their calculations with the book's answer.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents a differentiation problem and questions the book's answer, suggesting an alternative derivative.
  • Another participant expresses agreement with the initial concern about the book's answer.
  • A third participant asserts that the book is incorrect without providing further justification.
  • A final participant acknowledges the discussion and expresses gratitude for the input.

Areas of Agreement / Disagreement

There is no consensus on the correctness of the book's answer, as multiple participants express doubts about it, but no definitive resolution is reached.

Contextual Notes

Participants do not clarify the assumptions or methods used in their differentiation, leaving the discussion open to interpretation.

noahsdev
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Differentiate the following with a positive index:
[itex]\frac{2}{\sqrt[3]{x}}[/itex]
What the book says:
[itex]\frac{-2}{3x^ \frac{2}{3}}[/itex]
But shouldn't it be:
[itex]\frac{-2}{3x^ \frac{4}{3}}[/itex]
I just wan't to know if I'm doing something wrong, thanks :).
 
Last edited:
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I agree with you.
 
Your book is wrong.
 
Cool thanks, just wanted to check.
 

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