Find the coefficient of the squared term in the simplified form for the second derivative, f "(x) for f(x) = (x3 + 3x2 + 3)(3x3 − 6x2 − 8x + 1) .

Question

nincompoop · Answer

start differentiating

anonymous · Answer

Do I do product rule?

anonymous · Answer

Or do I derive them first?

nincompoop · Answer

would deriving use the product rule?

anonymous · Answer

In the end it would right?

nincompoop · Answer

it is up to you
there are different ways to approach this
you can simplify it first then derive or you can start with the product rule right away

anonymous · Answer

Would the coefficient of the second term be 60?

nincompoop · Answer

where is your solution that shows it is 60?

anonymous · Answer

When I derived it I got 90x^4+60x^3-231x^2-138x-30

nincompoop · Answer

how did you get the leading term with 4th power?

nincompoop · Answer

$\large x^3 \times 3x^3 = ?  $

anonymous · Answer

Im totally confused by what this problem is asking me to do

nincompoop · Answer

did you already take the second derivative?

anonymous · Answer

Yeah and thats what I got

nincompoop · Answer

can you show me your full solution?

nincompoop · Answer

it is asking for the coefficient of the SQUARED term
meaning after you take the first then second derivative, there will be a term with $a x^2$ where a is the coefficient and ^2 is the second power

anonymous · Answer

Oh so its -231?

nincompoop · Answer

if you did everything correctly, then I guess so

anonymous · Answer

Okay thank you!