Question
Differentiate the function. \[ f(x)=e^{7} \] \( f^{\prime}(x)=\square \)
Ask by Bowen Mckenzie. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( f'(x) = 0 \)
Solution
1. The function is given by
\[
f(x) = e^{7}.
\]
2. Since \( e^{7} \) is a constant, its derivative is zero.
3. Therefore,
\[
f'(x) = 0.
\]
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Simplify this solution Bonus Knowledge
The function \( f(x) = e^{7} \) is a constant function because \( e^{7} \) is simply a number, approximately equal to 1096.63. The derivative of any constant is always zero since it does not change with respect to \( x \). So, \( f^{\prime}(x) = 0 \). Now that’s some smooth sailing in calculus! You're essentially driving a car that never moves; it’s always parked right there at that constant value of \( e^{7} \)! Keep practicing, and this will be second nature in no time!
