已知f(x)=ln(2x+1),若f(x)+f(x)的導(dǎo)數(shù)=a有解,求a的取值范圍
已知f(x)=ln(2x+1),若f(x)+f(x)的導(dǎo)數(shù)=a有解,求a的取值范圍
數(shù)學(xué)人氣:520 ℃時(shí)間:2020-03-31 10:57:38
優(yōu)質(zhì)解答
f(x)+f(x)的導(dǎo)數(shù)=a得ln(2x+1)+2/(2x+1)=a,設(shè)g(x)=ln(2x+1)+2/(2x+1),在對(duì)g(x)求導(dǎo)得在(1/2,+oo)遞增,f(x)=ln(2x+1),若f(x)+f(x)的導(dǎo)數(shù)=a有解所以代入1/2,解得a>=ln2+1
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