定義域為x>0
1) f'(x)=a^2/x-2x+a=-1/x *(2x^2-ax-a^2)=-1/x*( 2x+a)(x-a)=0得極值點(diǎn)x=a,-a/2
若a>0,則當(dāng)00,(0.,-a/2)為單調(diào)增區(qū)間
2)f(x)=a^2ln(x)-x^2+ax≤a^2
如果a∈(0,e],極值點(diǎn)f(a)=a^2lna
設(shè)函數(shù)f(x)=a^2ln(x)-x^2+ax,a>0(1)求f(x)的單調(diào)區(qū)間;(2)若f(x)≤a^2對x∈(0,e]恒成立,求實數(shù)a的取值范
設(shè)函數(shù)f(x)=a^2ln(x)-x^2+ax,a>0(1)求f(x)的單調(diào)區(qū)間;(2)若f(x)≤a^2對x∈(0,e]恒成立,求實數(shù)a的取值范
注:e為自然對數(shù)的底數(shù)
注:e為自然對數(shù)的底數(shù)
數(shù)學(xué)人氣:802 ℃時間:2019-08-21 07:20:30
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