Final answer:
To find the second derivative of f(x) = -x^3 - x^4 + 5, we need to take the derivative twice. The second derivative is -6x - 12x^2.
Step-by-step explanation:
To obtain the second derivative of the function f(x) = -x^3 - x^4 + 5, we need to take the derivative twice.
First, let's find the first derivative:
f'(x) = -3x^2 - 4x^3 + 0 (since the derivative of a constant is 0)
Next, let's find the second derivative:
f''(x) = -6x - 12x^2
Therefore, the second derivative of f(x) is -6x - 12x^2.