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anonymous

  • 5 years ago

differentiate y = x^3(1+x)^3

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  1. anonymous
    • 5 years ago
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    u = x^3 u' = 3x^2 v = (1+x)^3 v'=3(1+x)^2 y' = u'v + uv'

  2. anonymous
    • 5 years ago
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    use product rule

  3. anonymous
    • 5 years ago
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    so what would you get as an answer

  4. anonymous
    • 5 years ago
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    what answer did you get?

  5. anonymous
    • 5 years ago
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    combine all to y'

  6. anonymous
    • 5 years ago
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    i got 3x^2(1+x)^3 + 3x^3(1+x)^2

  7. anonymous
    • 5 years ago
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    thats true

  8. anonymous
    • 5 years ago
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    but the solutions at the end of the text book say that the answer is 3x^2(1+x)^2(1+2x)

  9. anonymous
    • 5 years ago
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    so ???

  10. anonymous
    • 5 years ago
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    You can do it the long way and evaluate \[(1+x)^3 = 1+3x+ 3x^2+ x^3 \] Then multiply it with \[x^3\] and simply differentiate

  11. anonymous
    • 5 years ago
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    oh ok thank you romero! =D

  12. anonymous
    • 5 years ago
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    I mean its tedious and there are other ways that are much easier but you can always do that. I recommend learning substitution. You will come upon problems where simply evaluating will not work.

  13. anonymous
    • 5 years ago
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    ohhhh like that, sorrry cant help much

  14. anonymous
    • 5 years ago
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    oh ok a BIG THANKS to all!

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spraguer (Moderator)
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