If, f has a relative maximum at x = c then?
- f'(c) < 0
- f'(c) = 0
- f'(c) > 0
- None of these
Explanation
For a differentiable function f(x), a relative maximum or minimum can only occur at a critical point.
A critical point c is a value in the domain of the function where the first derivative (f'(c) is either zero or undefined.
At a relative maximum, the slope of the tangent line to the graph of the function is zero, which is represented by the first derivative.
This means that the function stops increasing and begins decreasing.
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