Is this a typo? Using Chain Rule and Product Rule

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SUMMARY

The discussion centers on identifying a potential typo in a mathematical text concerning the application of the Chain Rule and Product Rule in calculus. The user highlights discrepancies in the solution provided, specifically pointing out incorrect coefficients "7" and "49" in the derivative of the function. The correct derivative, as derived by the user, is confirmed to be h'(x) = (2x+1)^4(3x-2)^6(72x+1). This indicates a need for careful verification of mathematical texts to avoid confusion caused by typographical errors.

PREREQUISITES
  • Understanding of calculus concepts, specifically the Chain Rule and Product Rule.
  • Familiarity with derivative notation and computation.
  • Ability to identify and correct typographical errors in mathematical expressions.
  • Experience with mathematical problem-solving in higher education contexts.
NEXT STEPS
  • Review the Chain Rule and Product Rule in calculus textbooks.
  • Practice deriving complex functions using the Chain Rule and Product Rule.
  • Explore common typographical errors in mathematical literature and their implications.
  • Engage in peer discussions to clarify and verify mathematical solutions.
USEFUL FOR

Students studying calculus, educators teaching mathematical concepts, and anyone involved in proofreading mathematical texts for accuracy.

opus
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Homework Statement



This isn't really a homework problem, as the entire solution is laid out in the text. My question is in regards to a possible typo, which I have highlighted in blue in the given picture.
Usually I don't like to second guess the text, but this one has been absolutely plagued by typos and I usually have to go to the professor to see if it really is a typo or if I missed something.

Homework Equations

The Attempt at a Solution



My solution is ##h'(x) = (2x+1)^4(3x-2)^6(72x+1)##
 

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Mine as well. The "7" and the "49" are wrong.
 
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Ok thank you fresh. Really hate having to deal with typos, but I'm sure they're hard to avoid when writing an 800 page book of numbers.
 
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