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

We have to find the coefficient of squared term of the second derivative of the function.
When f(x)=x^4, f''(x)= 12x^2 =>12 is the coefficient.
Now we need only the term in degree 4 in the given function.
x^3*-8x +3x^2*-6x^2 = -42x^4
=> the required coefficient is 12*-42 = -504