f(X)=x^4一x^3
f'(x)=4x^3-3x^2=0
x^2(4x-3)=0
x=0或x=3/4
x=0時,在x=0的去心領(lǐng)域 f'(x)不變號,即此點不存在極值;
x>3/4 ,f'(x)>0,x<3/4,f'(x)<0
所以
該點取極小值f(3/4)=81/256-27/64=-27/256
極大值不存在.
謝謝您,但我還是不大明白f(x)不取0極值點左右導(dǎo)數(shù)必須異號,否則不是極值點。老師像這種題會不會用奇穿偶回畫圖法也可以
求函數(shù)f(X)=x^4一x^3的極大值和極小值
求函數(shù)f(X)=x^4一x^3的極大值和極小值
數(shù)學(xué)人氣:200 ℃時間:2020-04-21 13:26:38
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