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.

Question

Mathematics

Nico Daniel

3 October, 01:09

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.

+3

Answers (1)

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Xiomara Boone · Answer 1

The coefficient for the equation is - 24, because the formula applies like this

f (x) = (x^3 + 3x^2 + 3) (3x^3 - 6x^2 - 8x + 1)

= + (x^3) (-8x) + (2x) (3x^3)

Once we simplified through it all, we should be the answer

f" (x) = - 24x^2