Question
What do you mean by maxima or minima of a function?
Maxima and minima refer to the highest and lowest values that a function can achieve within a specific interval. In mathematical terms, a maximum is the largest value that a function can take in a particular range, while a minimum is the smallest value that the function can take in that same range. These points are crucial for understanding the behavior of a function and its overall shape.
To find the maxima and minima of a function, one must first find the critical points. These are points where the derivative of the function equals zero or is undefined. At these points, the function may have a maximum, minimum, or an inflection point. Once these points have been found, they _____________ ___________ ___ ____________ ____________ ______ ____ __________ ______.
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