Final answer:
The derivative of the constant csc(√3/2) is 0, because constants do not change and thus their rate of change, which is what a derivative represents, is zero.
Step-by-step explanation:
The question asks for the derivative of csc(√3/2). First, it's important to identify that csc(x) is the cosecant function, which is the reciprocal of the sine function, meaning csc(x) = 1/sin(x). To find the derivative of a constant value of the cosecant function, we need to remember that the derivative of a constant is zero. This is because the derivative represents the rate of change, and constants do not change. Therefore, the derivative of csc(√3/2), which is a constant value, is 0. This means that none of the given options a, b, c, or d are correct, implying there might be an error in the question or the provided options.