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

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