Question
Differentiate the following function. \[ f(x)=6 \pi^{3} \] \( f^{\prime}(x)=\square \)
Ask by Delgado Schofield. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( f'(x) = 0 \)
Solution
1. Recognize that the function \( f(x)=6\pi^3 \) is a constant function.
2. The derivative of any constant function is 0.
3. Therefore, \( f'(x)=0 \).
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Simplify this solution Beyond the Answer
The function \( f(x) = 6 \pi^{3} \) is a constant because it does not change with respect to \( x \). The derivative of any constant function is always zero. Therefore, \( f^{\prime}(x) = 0 \). Now, if you're ever confused about differentiation, remember that the derivative measures the rate of change. For constant functions like this one, since there's no change, the rate of change is simply zero!
