Let $f(x)=-6 e^{x}+e^{2}$. Find $f^{\prime}(x)$ \[ f^{\prime}(x)= \]

Step 1 ：Given the function \(f(x)=-6 e^{x}+e^{2}\)

Step 2 ：Apply the power rule to find the derivative of \(-6 e^{x}\), which is \(-6 e^{x}\)

Step 3 ：The derivative of \(e^{2}\) is 0 because \(e^{2}\) is a constant and the derivative of a constant is 0

Step 4 ：So, the derivative of the function \(f(x)\) is \(f^{\prime}(x)=-6 e^{x}+0\)

Step 5 ：Simplify to get \(f^{\prime}(x)=-6 e^{x}\)

Step 6 ：\(\boxed{f^{\prime}(x)=-6 e^{x}}\) is the derivative of the function \(f(x)=-6 e^{x}+e^{2}\)