Find the derivative of the function. \[ f(x)=e^{2-x} \] \[ f^{\prime}(x)= \] Submit Answer

Step 1 ：The function given is \(f(x)=e^{2-x}\).

Step 2 ：We need to find the derivative of this function.

Step 3 ：The derivative of a function can be found using the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Step 4 ：In this case, the outer function is \(e^u\) and the inner function is \(2-x\).

Step 5 ：The derivative of \(e^u\) is \(e^u\) and the derivative of \(2-x\) is -1.

Step 6 ：Therefore, the derivative of the function \(f(x) = e^{2-x}\) is \(-e^{2-x}\).

Step 7 ：So, the final answer is \(\boxed{-e^{2-x}}\).