y=2x*2 (3x-1)*3 Find using the product rule

Calculus
Tutor: None Selected Time limit: 1 Day

I must find the derivative using the product rule

May 19th, 2015

y=2x*2 (3x-1)*3

do you mean y=2x^2  *  (3x-1)^3???

Let me know so I can solve the problem for you thanks

May 19th, 2015

yes, 2x squared multiplied by (3x-1) to the third

May 19th, 2015

ok, y=2x^2 * (3x-1)^3

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

y'=4x(3x-1)^3+18x^2(3x-1)^2=4x(3x-1)^3+18x^2(9x^2-6x+1)=162x^4-108x^3+18x^2+4x(27x^3-27x^2+9x-1)=162x^4-108x^3+18x^2+108x^4-108x^3+36x^2-4x=270x^4-216x^3+54x^2-4x

best me please if you like my answer thanks

May 19th, 2015

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May 19th, 2015
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