f(x)在[0,1]上可微,且f(x)的零点都是简单零点,即f(x1)=0,f(x1)的导数≠0,证明:f(x)在[0f(x)在[0,1]上可微,且f(x)的零点都是简单零点,即f(x1)=0,f(x1)的导数≠0,证明:f(x)在[0,1]上只有有限个零点.
问题描述:
f(x)在[0,1]上可微,且f(x)的零点都是简单零点,即f(x1)=0,f(x1)的导数≠0,证明:f(x)在[0
f(x)在[0,1]上可微,且f(x)的零点都是简单零点,即f(x1)=0,f(x1)的导数≠0,证明:f(x)在[0,1]上只有有限个零点.
答