已知函數(shù)f(x)=(1/4)x的四次方-(2/3)ax的三次方-(3/2)x的平方+6ax.若a大于1,求函數(shù)y=f(x)的單調(diào)區(qū)間
已知函數(shù)f(x)=(1/4)x的四次方-(2/3)ax的三次方-(3/2)x的平方+6ax.若a大于1,求函數(shù)y=f(x)的單調(diào)區(qū)間
優(yōu)質(zhì)解答
f(x)=(1/4)x^4-(2/3)ax^3-(3/2)x^2+6ax
f'(x)=(x-2a)(x^2-3)=0 x=2a或x=±√3
2a>√3]x>2a或-√30,增x<-√3,√32a<√3]x>√3或-√30增,x<-√3,2a