derivative of x^2(2x-1)^3

Question

anonymous · Answer

Is that$$x ^{2}(2x-1)^{3}$$ ?

anonymous · Answer

yes

anonymous · Answer

Ok,  You need to take the first factor times the derivative of the second + the second factor times the derivative of the first.

anonymous · Answer

chain rule?

anonymous · Answer

The chain comes into effect when taking the derivative of the second factor.  The overall rule is the addition rule

anonymous · Answer

6(2x-1)*2 is what i get when doing the chain rule. mind just giving me the answer and i can see how you got it? :P

anonymous · Answer

ok, wait a sec.

anonymous · Answer

[(2x-1)^3]2x + (x^2)3[(2x-1)^2]2

anonymous · Answer

There are 2 concepts going on here.  First is the addition rule.  After the "+", the chain rule comes into play on that half.

anonymous · Answer

are you sure this cant be solved just using the chain rule?

anonymous · Answer

oo hmm. i see. you used product rule too didnt you?

anonymous · Answer

The chain rule applies to the second factor, (2x-1)^3, where you take the outer and then the inner derivative.  What you have going on here is first a derivative of a product, so you have to handle that idea first.

anonymous · Answer

ye, i get it now. thx

anonymous · Answer

You're getting it now.  It's like doing exponentiation before multiplication.

anonymous · Answer

ty

anonymous · Answer

thx for medal and good luck in your studies.