Final answer:
The derivative of the function h(s) = -27s² + 1 is -54s.
Step-by-step explanation:
The derivative of a function can be found by applying the power rule of differentiation. The power rule states that for a function of the form f(x) = ax^n, the derivative is given by f'(x) = nax^(n-1). In the given function h(s) = -27s^2 + 1, we have a constant term of 1 and a term with a power of 2. Applying the power rule, we get h'(s) = 2*(-27)*s^(2-1) = -54s.