ttpp1124 said:
Thank you for the suggestionetotheipi said:
A local extrema is a point on a curve where the value of the function is either at a maximum or minimum compared to the values of the function at surrounding points.
To find the local extrema of a function, you must first take the derivative of the function and set it equal to zero. Then, solve for the variable to find the critical points. Finally, plug in the critical points into the original function to determine if they are a maximum or minimum.
A local extrema is a point on a curve where the function is at a maximum or minimum compared to the values of the function at surrounding points. A global extrema is the absolute maximum or minimum value of a function over its entire domain. A local extrema can be a global extrema, but a global extrema is not always a local extrema.
A local extrema can be classified as a maximum or minimum based on the behavior of the function at that point. If the function is increasing before the critical point and decreasing after, it is a local maximum. If the function is decreasing before the critical point and increasing after, it is a local minimum.
Finding the local extrema of a function is important because it helps us understand the behavior of the function and identify important points on the curve. It also allows us to determine the maximum and minimum values of the function, which can be useful in various applications such as optimization problems.