導(dǎo)數(shù)的概念及其幾何意義課件1北師大版選修4

,導(dǎo)數(shù)的概念及其幾何意義匯報(bào)人：CONTENTS目錄01添加目錄標(biāo)題02導(dǎo)數(shù)的定義05導(dǎo)數(shù)的計(jì)算方法03導(dǎo)數(shù)的幾何意義04導(dǎo)數(shù)的應(yīng)用第一章單擊添加章節(jié)標(biāo)題第二章導(dǎo)數(shù)的定義導(dǎo)數(shù)的定義及符號(hào)表示導(dǎo)數(shù)：函數(shù)在某一點(diǎn)的切線斜率符號(hào)表示：f'(x)或df(x)/dx導(dǎo)數(shù)的幾何意義：函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)的物理意義：函數(shù)在某一點(diǎn)的變化率導(dǎo)數(shù)與極限的關(guān)系導(dǎo)數(shù)是極限的比值極限是導(dǎo)數(shù)的基礎(chǔ)導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的極限值極限是函數(shù)在某一點(diǎn)的導(dǎo)數(shù)值導(dǎo)數(shù)的幾何意義導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的瞬時(shí)變化率導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的速度導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的加速度第三章導(dǎo)數(shù)的幾何意義導(dǎo)數(shù)與切線斜率的關(guān)系導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)等于函數(shù)在該點(diǎn)的切線斜率導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的瞬時(shí)變化率導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的切線斜率的極限導(dǎo)數(shù)與函數(shù)增減性的關(guān)系導(dǎo)數(shù)小于0，函數(shù)在該點(diǎn)遞減導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)大于0，函數(shù)在該點(diǎn)遞增導(dǎo)數(shù)等于0，函數(shù)在該點(diǎn)可能存在極值導(dǎo)數(shù)與函數(shù)極值的關(guān)系導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的斜率導(dǎo)數(shù)等于零的點(diǎn)是函數(shù)的極值點(diǎn)導(dǎo)數(shù)大于零，函數(shù)在該點(diǎn)遞增導(dǎo)數(shù)小于零，函數(shù)在該點(diǎn)遞減導(dǎo)數(shù)等于零，函數(shù)在該點(diǎn)可能為極值點(diǎn)，也可能為拐點(diǎn)導(dǎo)數(shù)在極值點(diǎn)兩側(cè)的符號(hào)相反，函數(shù)在該點(diǎn)為極值點(diǎn)導(dǎo)數(shù)與函數(shù)圖像形態(tài)的關(guān)系導(dǎo)數(shù)等于無(wú)窮大的點(diǎn)表示函數(shù)圖像的尖點(diǎn)導(dǎo)數(shù)等于零且二階導(dǎo)數(shù)大于零的點(diǎn)表示函數(shù)圖像的極小值點(diǎn)導(dǎo)數(shù)等于零且二階導(dǎo)數(shù)小于零的點(diǎn)表示函數(shù)圖像的極大值點(diǎn)導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的斜率導(dǎo)數(shù)正負(fù)決定函數(shù)圖像的增減性導(dǎo)數(shù)等于零的點(diǎn)是函數(shù)圖像的拐點(diǎn)第四章導(dǎo)數(shù)的應(yīng)用導(dǎo)數(shù)在求極值中的應(yīng)用導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)在求極值中的應(yīng)用：通過(guò)求導(dǎo)數(shù)，找到函數(shù)的極值點(diǎn)極值點(diǎn)：函數(shù)在某一點(diǎn)的導(dǎo)數(shù)為0，且該點(diǎn)兩側(cè)的導(dǎo)數(shù)符號(hào)相反極值：函數(shù)在極值點(diǎn)處的值，可能是最大值或最小值導(dǎo)數(shù)在求函數(shù)單調(diào)性中的應(yīng)用導(dǎo)數(shù)定義：函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)與函數(shù)單調(diào)性關(guān)系：導(dǎo)數(shù)大于0，函數(shù)單調(diào)遞增；導(dǎo)數(shù)小于0，函數(shù)單調(diào)遞減導(dǎo)數(shù)在求函數(shù)單調(diào)區(qū)間中的應(yīng)用：通過(guò)計(jì)算導(dǎo)數(shù)，確定函數(shù)單調(diào)區(qū)間導(dǎo)數(shù)在求函數(shù)極值中的應(yīng)用：通過(guò)計(jì)算導(dǎo)數(shù)，確定函數(shù)極值點(diǎn)，進(jìn)而確定函數(shù)單調(diào)性導(dǎo)數(shù)在求函數(shù)最值中的應(yīng)用導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)可以用來(lái)求函數(shù)的極值和最值導(dǎo)數(shù)為零的點(diǎn)可能是函數(shù)的極值點(diǎn)導(dǎo)數(shù)符號(hào)的變化可以用來(lái)判斷函數(shù)的單調(diào)性導(dǎo)數(shù)在求函數(shù)最值中的應(yīng)用廣泛，如求最大值、最小值、拐點(diǎn)等導(dǎo)數(shù)在解決實(shí)際問(wèn)題中的應(yīng)用添加標(biāo)題添加標(biāo)題添加標(biāo)題添加標(biāo)題求導(dǎo)數(shù)：導(dǎo)數(shù)可以用來(lái)求函數(shù)的導(dǎo)數(shù)，例如求函數(shù)f(x)=x^2的導(dǎo)數(shù)。求極限：導(dǎo)數(shù)可以用來(lái)求函數(shù)的極限，例如求函數(shù)f(x)=x^2在x=0處的極限。求極值：導(dǎo)數(shù)可以用來(lái)求函數(shù)的極值，例如求函數(shù)f(x)=x^2的極值。求最值：導(dǎo)數(shù)可以用來(lái)求函數(shù)的最值，例如求函數(shù)f(x)=x^2的最值。第五章導(dǎo)數(shù)的計(jì)算方法切線斜率的計(jì)算方法導(dǎo)數(shù)的定義：函數(shù)在某一點(diǎn)的切線斜率等于該點(diǎn)的導(dǎo)數(shù)導(dǎo)數(shù)的幾何意義：導(dǎo)數(shù)是函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)的計(jì)算方法：使用導(dǎo)數(shù)公式或?qū)?shù)表進(jìn)行計(jì)算切線斜率的計(jì)算方法：使用導(dǎo)數(shù)公式或?qū)?shù)表進(jìn)行計(jì)算，得到切線斜率導(dǎo)數(shù)的計(jì)算公式及推導(dǎo)過(guò)程導(dǎo)數(shù)的推導(dǎo)過(guò)程：通過(guò)極限的定義，推導(dǎo)出導(dǎo)數(shù)的計(jì)算公式導(dǎo)數(shù)的定義：函數(shù)在某一點(diǎn)的切線斜率導(dǎo)數(shù)的計(jì)算公式：f'(x)=lim(x->0)[f(x+h)-f(x)]/h導(dǎo)數(shù)的幾何意義：函數(shù)在某一點(diǎn)的切線斜率，表示函數(shù)在該點(diǎn)的變化率導(dǎo)數(shù)的計(jì)算方法舉例直接計(jì)算法：通過(guò)求導(dǎo)公式直接計(jì)算導(dǎo)數(shù)換元法：通過(guò)換元法將復(fù)雜函數(shù)轉(zhuǎn)化為簡(jiǎn)單函數(shù)，再計(jì)算導(dǎo)數(shù)積分法：通過(guò)積分法將復(fù)雜函數(shù)轉(zhuǎn)化為簡(jiǎn)單函數(shù)，再計(jì)算導(dǎo)數(shù)微分法：通過(guò)微分法將復(fù)雜函數(shù)轉(zhuǎn)化為簡(jiǎn)單函數(shù)，再計(jì)算導(dǎo)數(shù)洛必達(dá)法則：通過(guò)洛必達(dá)法則將復(fù)雜函數(shù)轉(zhuǎn)化為簡(jiǎn)單函數(shù)，再計(jì)算導(dǎo)數(shù)泰勒公式：通過(guò)泰勒公式將復(fù)雜函數(shù)轉(zhuǎn)化為簡(jiǎn)單函數(shù)，再計(jì)算導(dǎo)數(shù)導(dǎo)數(shù)的計(jì)算技巧總結(jié)基本公式：導(dǎo)數(shù)等于函數(shù)在某一點(diǎn)的斜率求導(dǎo)法則：包括四則運(yùn)算、復(fù)合函