Locating Critical Points | Finding the Maxima and Minima Using Derivatives
Автор: JC Amores
Загружено: 2020-11-17
Просмотров: 9577
Locating Critical Points | Maxima and Minima
Critical points are points on the graph of a function where the derivative is zero, y' = 0
At a point where the function is algebraically greater than any neighboring point, the function is said to have a maximum value (MAXIMA). Similarly, the point that would have a lesser value than at any neighboring point is said to have a minimum value (MINIMA).
Steps in solving:
1. Solve for the y'
2. Set y' = 0 and solve for the value/s of x.
3. To get the critical points, go the function and substitute the value/s of x and solve for y.
4. Apply the second derivative test to know if the critical point is the Maximum or the Minimum Value.
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![[CALCULUS] Maxima and Minima, Critical Numbers, 1st and 2nd Derivative Tests](https://imager.clipsaver.ru/REjTupQlXW4/max.jpg)
