Why Does My Answer Differ from the Textbook in Differentiating y = x(1+x)^0.5?

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SUMMARY

The discussion centers on differentiating the function y = x(1+x)^0.5 using the product rule. The user reports discrepancies between their calculated derivative and the solution provided in the textbook. The conversation emphasizes the importance of correctly applying the product rule and potentially re-evaluating the steps taken to ensure accuracy in differentiation.

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  • Familiarity with the product rule in calculus.
  • Knowledge of algebraic manipulation involving square roots.
  • Ability to interpret and compare mathematical solutions.
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  • Review the product rule for differentiation in calculus.
  • Practice differentiating functions involving square roots.
  • Explore common pitfalls in applying differentiation rules.
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Students studying calculus, educators teaching differentiation techniques, and anyone seeking to clarify their understanding of product rule applications in calculus.

breen155
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Hey guys I am having a bit of trouble solving the following problem,
differentiate y = x ((1+x)^0.5)
I am using the product rule however I am getting a different answer to the back of my textbook I was wondering if anyone could help clear this up for me, thanks.
 
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