導(dǎo)數(shù)函數(shù)零點(diǎn)與導(dǎo)數(shù)1.函數(shù)f(x)的零點(diǎn)2.判斷函數(shù)的零點(diǎn)個(gè)數(shù)的常見方法：一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)3.已知方程根的個(gè)數(shù)，求方程中待定字母的范圍的常見方法：分離參數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)類型1：轉(zhuǎn)化為兩個(gè)函數(shù)圖像的交點(diǎn)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)類型2：分離參數(shù)，轉(zhuǎn)化為常值函數(shù)與函數(shù)圖像的交點(diǎn)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)∴f′(x)＝x2－4＝(x＋2)(x－2).令f′(x)＝0，得x＝2或x＝－2.當(dāng)x變化時(shí)，f′(x)，f(x)的變化情況如下表：x(－∞，－2)－2(－2,2)2(2，＋∞)f′(x)＋0－0＋f(x)

↗極大值

↘極小值

↗且f(x)在(－∞，－2)上遞增，在(－2,2)上遞減，在(2，＋∞)上遞增.它的圖象大致如圖所示：一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)類型3：方程有解或無(wú)解一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)類型4：討論函數(shù)零點(diǎn)個(gè)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)一

函數(shù)零點(diǎn)與導(dǎo)數(shù)4.函數(shù)的零點(diǎn)個(gè)數(shù)的另一種方法－－－分類討論法思維順序：(1)準(zhǔn)確求出函數(shù)f(x)的導(dǎo)函數(shù)；(2)討論函數(shù)的單調(diào)性；(3)由極值和區(qū)間端點(diǎn)函數(shù)值的正負(fù)確定函數(shù)圖像與x軸的交點(diǎn)個(gè)數(shù)。一