Question

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

Answer 1

u = x^3 u' = 3x^2
v = (1+x)^3 v'=3(1+x)^2
y' = u'v + uv'

Answer 2

use product rule

Answer 3

so what would you get as an answer

Answer 4

what answer did you get?

Answer 5

combine all to y'

Answer 6

i got 3x^2(1+x)^3 + 3x^3(1+x)^2

Answer 7

thats true

Answer 8

but the solutions at the end of the text book say that the answer is 3x^2(1+x)^2(1+2x)

Answer 9

so ???

Answer 10

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

Answer 11

oh ok thank you romero! =D

Answer 12

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.

Answer 13

ohhhh like that, sorrry cant help much

Answer 14

oh ok a BIG THANKS to all!