柯西中值定理證明考研(范文5篇)證明
微分中值定理的證明題1.若f(x)在[a,b]上連續(xù),在(a,b)上可導(dǎo),f(a)?f(b)?0,證明:???R,???(a,b)使得:f?(?)??f(?)?0。證:構(gòu)造函數(shù)F(x)?f(x)e?x,則F(x)在[a,b]... [全文]
微分中值定理的證明題1.若f(x)在[a,b]上連續(xù),在(a,b)上可導(dǎo),f(a)?f(b)?0,證明:???R,???(a,b)使得:f?(?)??f(?)?0。證:構(gòu)造函數(shù)F(x)?f(x)e?x,則F(x)在[a,b]... [全文]