1/3是對數(shù),括號(hào)中的是真數(shù)
熱心網(wǎng)友
y=log(x^2+x+1)-log(x^2-x+1) 底數(shù)1/3予以省略,下同。=log[(x^2+x+1)/(x^2-x+1)]下面研究真數(shù)里的函數(shù)T=(x^2+x+1)/(x^2-x+1) (用求反函數(shù)的定義域的方法來求函數(shù)值域)---(T-1)x^2-(T+1)x+(T-1)=0T=1----2x=0---對應(yīng)的x存在,并且T=1,T1:△=(Y+1)^2-4(T-1)^2=0----(3T-1)(T-3)=0---1/3=1=logT=-1----1= 令y'=0,解x=1,-1對應(yīng)y最大值和最小值為1和0熱心網(wǎng)友