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10 December, 12:04

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.

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  1. 10 December, 12:18
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    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
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