Final answer:
The derivative of 9-2x is obtained by applying the power rule, resulting in -2 after differentiating the constant and the term with the exponent. The correct option is B: -2.
Step-by-step explanation:
The derivative of 9-2x with respect to x requires us to use the power rule for differentiation, which states that if you have a function of the form f(x) = x^n, the derivative f'(x) is nx^{n-1}.
Since 9 is a constant, its derivative is 0 and since -2x is essentially -2x^1, using the power rule, the derivative is -2 multiplied by x^{1-1} which simplifies to -2.
The correct answer is Option B: -2, which represents the derivative of the exponential function 9-2x.