Answer:
The question is not complete. I will explain relative extrema and how to calculate it.
Step-by-step explanation:
The singular of extrema is extremum and it is simply used to describe a value that is a minimum or a maximum of all function values.
A function will have relative extrema (relative maximum or relative minimum) at points in which it changes from decreasing to increasing, or vice versa.
So if f(y) is a function of y
if there exists an interval (a, b) containing d
such that for all y in (a, b) , f(y) ≤ f(d)
if there exists an interval (a, b) containing d
such that for all y in (a, b) , f(y) ≥ f(d)
Kindly note that If f(d) is a relative extrema of f(y), then the relative extrema occurs at y = d.
For the local extrema of a critical point to be determined, the function must go from increasing, that means positive [tex]f^{'}[/tex], to decreasing, that means negative [tex]f^{'}[/tex], or vice versa, around that point.
[tex]f^{'}[/tex] is determined by finding the first derivative of the function f(y). The relative extrema will therefore allows us to check for any sign changes of f′ around the function's critical points.
