n00b derivative question

[churchdoesmatter]

i'm stuck on this one problem from Princeton's AP Calculus Test Prep book. the book didn't answer the problem throughly and probably skipped some calculations. do you think you can help me solve this problem. Thanks.

y = (4x+1)^2 * (1-x)^3

find y' ... i think you use the product rule, i'm not sure =(

 

[Ns1]

y'= fg' + f'g

 

[spanky]

no one has created forums.calchomework.com yet?

 

[j0lly]

Very detailed explanation here.

 

[rival]

yea, what he said

 

[habib89]

you need the product rule, and the chain rule... derivative of the function * derivative of inside function... so

y' = 2(4x+1)(4) * (1-x)^3 + (4x+1)^2 * 3(1-x)^2(-1)