Final answer:
The derivative of y = sin(a+y) is dy/dy = cos(a+y) * (1).
Step-by-step explanation:
To find the derivative of y = sin(a+y), we can use the chain rule. Let's denote the inner function as u = a + y. So, we have y = sin(u). The derivative of the sine function is cos(u). Now, we need to find the derivative of the inner function, u = a + y. The derivative of a + y with respect to y is 1. Putting it all together, the derivative of y = sin(a+y) is dy/dy = cos(a+y) * (1).