What is the derivative of pi over 3?
Understand the Problem
The question is asking for the derivative of the constant value π/3. Since the derivative of any constant is zero, this is a straightforward application of basic calculus principles.
Answer
$0$
Answer for screen readers
The derivative of $\frac{\pi}{3}$ is $0$.
Steps to Solve
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Identify the constant We start by recognizing that the value we are taking the derivative of is a constant, specifically $\frac{\pi}{3}$.
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Apply the derivative rule Remember that the derivative of any constant is zero. So, we apply this rule here.
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Write out the derivative We can express the derivative of $\frac{\pi}{3}$ as follows: $$ \frac{d}{dx} \left( \frac{\pi}{3} \right) = 0 $$
The derivative of $\frac{\pi}{3}$ is $0$.
More Information
The derivative being zero for any constant value signifies that there is no change in its value with respect to the variable. This basic principle is fundamental in calculus.
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