Find the derivative of $f(x)=-2$.

Question

BlackTom AI · Accepted Answer

Consider the function f(x) = -2, which is a constant function. 
Since the derivative measures the instantaneous rate of change of a function with respect to x, and a constant function does not change as x changes, its rate of change is zero. 
Therefore, the derivative f'(x) is 0 for all x.

In this specific question, the provided option is a. 0. This aligns with the general rule that the derivative of any constant is zero.

Note: The answer options are not listed beyond the single choice given, so there are no alternative distractors to evaluate here. If there were other options, we would assess each one in terms of whether it correctly expresses the derivative of a constant, which should be zero, and point out why any nonzero value would be incorrect.

SCNC1111_2B_2024 Quiz 3

Find the derivative of \(f(x)=-2\).

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