Question

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) . Use the hyphen symbol, -, for negative values.

Answer 1

@tkhunny

Answer 2

@phi

Answer 3

@jim_thompson5910

Answer 4

We need only the one coefficient.

Squared terms come from two sources:
1) x * x
2) Constant * x^2

(x3 + 3x2 + 3)(9x2 − 12x − 8) + (3x2 + 6x)(3x3 − 6x2 − 8x + 1)

You should be able to pick out only the terms up to x^3 from here and give it another go on the second derivative.

Answer 5

so what do i get as an answer?

Answer 6

Well, you work it out. Then you tell us what you get.

Answer 7

concavity:D

Answer 8

You can also use a table like this one to expand