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安裝中文字典英文字典辭典工具!
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- Finding Maxima and Minima using Derivatives - Math is Fun
A high point is called a maximum (plural maxima) A low point is called a minimum (plural minima) The general word for maximum or minimum is extremum (plural extrema) We say local maximum (or minimum) when there may be higher (or lower) points elsewhere but not nearby
- Application of Derivative - Maxima and Minima - GeeksforGeeks
Use the second derivative test or first derivative test to classify these points as maxima, minima, or points of inflection Evaluate f(x) at the critical points and the end points a and b Compare the values to find the maximum and minimum
- 7. Applied Maximum and Minimum Problems - Interactive Mathematics
To maximise the area, find when `(dA) dx = 0` `(dA) (dx)=800-4x=0` when ` x=200` Is it a maximum? `(d^2A) (dx^2)=-4<0\ "for all"\ x` So it is a maximum So the maximum area occurs when `x = 200`, `y = 400` and that area is: A = 200 × 400 = 80 000 m 2 = 8 ha
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