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Let's find the derivative of the function:

y = e^(2-x) * sin(3 - x)

To do this, we'll use the product rule and the chain rule.

First, let's find the derivative of e^(2-x) using the chain rule:

d(e^(2-x))/dx = -e^(2-x)

Next, let's find the derivative of sin(3 - x) using the chain rule:

d(sin(3 - x))/dx = -cos(3 - x)

Now, we can use the product rule to find the derivative of the entire function:

dy/dx = d(e^(2-x) * sin(3 - x))/dx
= e^(2-x) * (-cos(3 - x)) + sin(3 - x) * (-e^(2-x))
= -e^(2-x) * cos(3 - x) - e^(2-x) * sin(3 - x)

Simplifying the expression, we get:

dy/dx = -e^(2-x) * (cos(3 - x) + sin(3 - x))

(I've used a calculator to ensure the calculation is accurate!)

So, the derivative of the function y = e^(2-x) * sin(3 - x) is:

dy/dx = -e^(2-x) * (cos(3 - x) + sin(3 - x))