若f(a)是函式f(x)的極大值或極小值,則a為函式f(x)的極值點,極大值點與極小值點統稱為極值點。極值點是函式圖像的某段子區間內上極大值或者極小值點的橫坐標。極值點出現在函式的駐點(導數為0的點)或不可導點處(導函式不存在,也可以取得極值,此時駐點不存在)
基本介紹
- 中文名:極值點
- 外文名:extreme point
- 涉及學科:數學
- 來源於:最大最小值求解問題
- 分為:極大值點;極小值點
- 性質:局部範圍內的比較
定義
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
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定理
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判別方法
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計算方法
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極值點與穩定點
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若f(a)是函式f(x)的極大值或極小值,則a為函式f(x)的極值點,極大值點與極小值點統稱為極值點。極值點是函式圖像的某段子區間內上極大值或者極小值點的橫坐標。極值點出現在函式的駐點(導數為0的點)或不可導點處(導函式不存在,也可以取得極值,此時駐點不存在)
若f(a)是函式f(x)的極大值或極小值,則a為函式f(x)的極值點,極大值點與極小值點統稱為極值點。極值點是函式圖像的某段子區間內上極大值或者極小值點的...
在數學分析中,函式的最大值和最小值(最大值和最小值)被統稱為極值(極數),是給定範圍內的函式的最大值和最小值(本地 或相對極值)或函式的整個定義域(全局...
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在數學分析中,函式的最大值和最小值(最大值和最小值)被統稱為極值(極數),是給定範圍內的函式的最大值和最小值(本地 或相對極值),給定函式的整個定義域的...
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