derivative of π/4
Understand the Problem
The question is asking for the derivative of the constant value π/4. Since the derivative of any constant is zero, the solution will reflect that understanding.
Answer
The derivative of $\frac{\pi}{4}$ is $0$.
Answer for screen readers
The derivative of $\frac{\pi}{4}$ is $0$.
Steps to Solve
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Identify the Function The function we are dealing with is a constant function: $$ f(x) = \frac{\pi}{4} $$
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Apply the Derivative Rule According to the rules of calculus, the derivative of any constant function is zero. We can express this formally as: $$ f'(x) = 0 $$
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Conclusion Thus, the derivative of the constant value $\frac{\pi}{4}$ is simply: $$ f'(x) = 0 $$
The derivative of $\frac{\pi}{4}$ is $0$.
More Information
The derivative measures how a function changes as its input changes. Since $\frac{\pi}{4}$ does not change (it remains constant), its derivative is zero. This is a fundamental concept in calculus.
Tips
- Confusing a constant with a variable. It's important to remember that the derivative of a constant is always zero, regardless of the constant's value.
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