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今天小編為大家帶來的是好學高數（五）：微分的中值定理。
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and leave a beautiful place!
Dear you, this is LearningYard.
Today's edition brings you the Mean Value Theorem of Differential.
中值定理
一、羅爾定理
（1）f(x)在閉區間[a ,b]上連續；
（2）f(x)在開區間(a,b) 內可導；
（3）f(x)在區間端點的函數值相等，即f(a)=f(b) ，
那麼在(a,b) 內至少有一點ξ (a<ξ<b)，使得函數f(x) 在該點的導數等於零，即f'(ξ)=0。
（可用來證明唯一性）
1、 Rolle's theorem
(1) f (x) is continuous on the closed interval [a, b];
(2) F (x) is derivable in the open interval (a, b);
(3) The function values of f (x) at the end of the interval are equal, that is, f (a)=f (b), so there is at least one point in (a, b) ξ (a< ξ< b) , so that the derivative of function f (x) at this point is equal to zero, that is, f '（ ξ)= 0 (can be used to prove uniqueness)
二、拉格朗日中值定理
三、柯西中值定理（參數方程）
洛必達法則
適用對象：0比0型、無窮比無窮型
當遇到無窮*0型，將其中一個乘數轉化為分母，再進行求導。
Applicable objects: 0 to 0 type, infinite to infinite type When encountering infinite * 0 type, convert one of the multipliers to the denominator, and then take the derivative.
泰勒公式
（做題時使用頻率小）
(Less frequently used in questions)
END
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文案&排版:易春秀
審核：閆慶紅
