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
- Function f(d) will be is a relative maximum of f(y),
if there exists an interval (a, b) containing d
such that for all y in (a, b) , f(y) ≤ f(d)
- Function f(d) will also be a relative minimum of f(y),
if there exists an interval (a, b) containing d
such that for all y in (a, b) , f(y) ≥ f(d)
<em>Kindly note that If f(d) is a relative extrema of f(y), then the relative extrema occurs at y = d.</em>
<em>For the local extrema of a critical point to be determined, the function must go from increasing, that means positive </em><em>, to decreasing, that means negative </em>
<em>, or vice versa, around that point.</em>
<em> </em> 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.