Problem

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

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/43472/

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