Find $f^{\prime}(x), f^{\prime \prime}(x)$, and $f^{(3)}(x)$ for the following function.
\[
f(x)=3 e^{x}
\]
\[
f^{\prime}(x)=
\]

Answer

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Answer

$\boxed{f'(x) = f''(x) = f^{(3)}(x) = 3e^x}$

Steps

Step 1 ：Find the first derivative of the function, $f'(x) = 3e^x$

Step 2 ：Find the second derivative of the function, $f''(x) = 3e^x$

Step 3 ：Find the third derivative of the function, $f^{(3)}(x) = 3e^x$

Step 4 ：$\boxed{f'(x) = f''(x) = f^{(3)}(x) = 3e^x}$