Question #fd5fd
1 Answer
Nov 29, 2017
Local extrema is when the instantaneous slope of the function at that point is 0. Absolute extrema is the biggest or smallest point in the entire graph or interval.
Explanation:
graph{(x-1)^3 - x^2 + x -1 [-10, 10, -5, 5]}
For example, in this graph,
You can see two points where the graph is flat and the instantaneous slope is at 0. One is the local maxima,
However, these are not the lowest or highest points in the entire interval. The absolute maxima is
Hope this helped.