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anonymous
 5 years ago
differentiate y = x^3(1+x)^3
anonymous
 5 years ago
differentiate y = x^3(1+x)^3

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u = x^3 u' = 3x^2 v = (1+x)^3 v'=3(1+x)^2 y' = u'v + uv'

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so what would you get as an answer

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what answer did you get?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i got 3x^2(1+x)^3 + 3x^3(1+x)^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but the solutions at the end of the text book say that the answer is 3x^2(1+x)^2(1+2x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You 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

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok thank you romero! =D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I 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.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohhhh like that, sorrry cant help much

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok a BIG THANKS to all!
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