Find the derivative of f(x) = 4
Understand the Problem
The question is asking to find the derivative of the constant function f(x) = 4. The derivative of a constant is always zero.
Answer
$f'(x) = 0$
Answer for screen readers
$f'(x) = 0$
Steps to Solve
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Identify the function The function is $f(x) = 4$, which is a constant function
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Apply the constant rule for derivatives The derivative of a constant is always zero. Therefore, $f'(x) = 0$.
$f'(x) = 0$
More Information
The derivative of a function at a point represents the slope of the tangent line to the function at that point. Since a constant function is a horizontal line, its slope is always zero, and thus its derivative is zero.
Tips
A common mistake is attempting to apply power rule or other derivative rules that are not applicable to constant functions. Remembering the fundamental rule that the derivative of a constant is zero helps avoid this mistake.
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