To find the second derivative of the function f(x) = -x^2/1, we need to differentiate it twice.
Step 1: Find the first derivative of f(x):
Using the power rule of differentiation, we get:
f'(x) = -2x^(2-1)/1
= -2x^1
= -2x
Step 2: Find the second derivative of f(x):
Differentiating f'(x), we get:
f''(x) = d/dx (-2x)
= -2
Therefore, the second derivative of f(x) is a constant, -2.
None of the options A, B, C, D, or E match our result of -2. Hence, none of the provided options is correct for the second derivative of f(x).