Final answer:
To find the derivative of the function f(x) = arcsin(x-2), use the chain rule and the derivative of arcsin(u) = 1 / sqrt(1 - u^2) * du/dx.
Step-by-step explanation:
To find the derivative of the function f(x) = arcsin(x-2), we can use the chain rule. The derivative of arcsin(u) is 1 / sqrt(1 - u^2) * du/dx, where u is the inner function and du/dx is the derivative of u with respect to x. In this case, u = x-2, so du/dx = 1. Therefore, the derivative of f(x) = arcsin(x-2) is 1 / sqrt(1 - (x-2)^2).