锟斤拷锟斤拷锟竭匡拷锟斤拷(f锟斤拷)锟斤拷(x锟斤拷)锟斤拷锟斤拷母锟斤拷锟斤拷锟�锟斤拷锟斤拷锟斤拷锟斤拷锟�锟斤拷指锟斤拷(d锟斤拷o)锟斤拷(f锟斤拷)锟斤拷(x锟斤拷)锟侥教庯拷锟斤拷锟斤拷(y锟斤拷ng)锟給锟絎(xu锟斤拷)锟斤拷一锟絅锟斤拷锟絕锟斤拷锟�(zh锟斤拷n)锟斤拷锟斤拷锟斤拷锟脚的撅拷锟斤拷锟斤拷貌锟斤拷要锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷(sh锟斤拷)锟截忥拷(f锟斤拷)锟斤拷(x锟斤拷)锟斤拷一锟斤拷一锟斤拷锟斤拷前锟組(j锟斤拷n)锟斤拷锟斤拷锟侥烇拷锟揭滐拷(zh锟斤拷n)锟斤拷锟剿旓拷(sh锟斤拷)锟絎(xu锟斤拷)锟斤拷(d锟斤拷o)锟斤拷(sh锟斤拷)锟侥戯拷(y锟斤拷ng)锟矫必匡拷知锟絉(sh锟斤拷)锟絚(di锟斤拷n)锟侥冿拷(n锟斤拷i)锟斤拷锟斤拷

锟斤拷锟斤拷一锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥嗭拷锟絳(di锟斤拷o)锟斤拷

锟斤拷锟斤拷锟斤拷(a锟斤拷b)锟斤拷(n锟斤拷i)锟缴岋拷(d锟斤拷o)锟斤拷锟斤拷(sh锟斤拷)f(x)锟斤拷f′(x)锟斤拷(a锟斤拷b)锟斤拷锟斤拷锟接區(q锟斤拷)锟絞锟斤拷(n锟斤拷i)锟斤拷锟斤拷锟斤拷锟斤拷锟�0.

锟斤拷锟斤拷f′(x)≥0?f(x)锟斤拷(a锟斤拷b)锟较烇拷锟斤拷锟斤拷锟斤拷(sh锟斤拷).

锟斤拷锟斤拷f′(x)≤0?f(x)锟斤拷(a锟斤拷b)锟较烇拷p锟斤拷锟斤拷(sh锟斤拷).

锟斤拷锟斤拷1锟斤拷f′(x)>0锟絚f(x)锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟絇(gu锟斤拷n)系锟斤拷f′(x)>0锟斤拷锟狡筹拷f(x)锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷之锟斤拷一锟斤拷.锟界函锟斤拷(sh锟斤拷)f(x)=x3锟斤拷(-∞锟斤拷+∞)锟较嗭拷锟絳(di锟斤拷o)锟絝锟斤拷锟斤拷锟斤拷f′(x)≥0锟斤拷锟斤拷锟斤拷f′(x)>0锟斤拷f(x)锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥筹拷锟�

锟斤拷锟斤拷锟斤拷锟斤拷要锟絣锟斤拷.

锟斤拷锟斤拷2锟斤拷锟缴岋拷(d锟斤拷o)锟斤拷锟斤拷(sh锟斤拷)锟侥極值锟絚(di锟斤拷n)锟斤拷锟斤拷菍锟�(d锟斤拷o)锟斤拷(sh锟斤拷)锟斤拷0锟斤拷锟絚(di锟斤拷n)锟斤拷锟斤拷锟斤拷(d锟斤拷o)锟斤拷(sh锟斤拷)锟斤拷0锟斤拷锟絚(di锟斤拷n)锟斤拷一锟斤拷锟角極值锟絚(di锟斤拷n)锟斤拷锟斤拷f′(x0)=0锟角可岋拷(d锟斤拷o)锟斤拷锟斤拷(sh锟斤拷)f(x)锟斤拷x=x0處取锟矫極值锟侥憋拷要锟斤拷锟斤拷謼l锟斤拷.锟斤拷锟界函锟斤拷(sh锟斤拷)y=x3锟斤拷x=0處锟斤拷y′|x=0=0锟斤拷锟斤拷x=0锟斤拷锟角極值锟絚(di锟斤拷n).锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟缴岋拷(d锟斤拷o)锟斤拷锟絚(di锟斤拷n)也锟斤拷锟斤拷锟角猴拷锟斤拷(sh锟斤拷)锟侥極值锟絚(di锟斤拷n).

锟斤拷锟斤拷3锟斤拷锟缴岋拷(d锟斤拷o)锟斤拷锟斤拷(sh锟斤拷)锟侥極值锟斤拷示锟斤拷锟斤拷(sh锟斤拷)锟斤拷一锟絚(di锟斤拷n)锟斤拷锟斤拷锟斤拷锟斤拷r锟斤拷锟斤拷锟节局诧拷锟斤拷(du锟斤拷)锟斤拷锟斤拷(sh锟斤拷)值锟侥憋拷锟絕;锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷值锟角憋拷示锟斤拷锟斤拷(sh锟斤拷)锟斤拷一锟斤拷(g锟斤拷)锟絕(q锟斤拷)锟絞锟较碉拷锟斤拷r锟斤拷锟角岋拷(du锟斤拷)锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷(g锟斤拷)锟絕(q锟斤拷)锟絞锟较的猴拷锟斤拷(sh锟斤拷)值锟侥憋拷锟絕.

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥極值

锟斤拷锟斤拷1锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥極小值锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)y=f(x)锟斤拷锟絚(di锟斤拷n)x=a锟侥猴拷锟斤拷(sh锟斤拷)值f(a)锟斤拷锟斤拷锟斤拷锟絚(di锟斤拷n)x=a锟斤拷锟斤拷锟斤拷锟斤拷锟絚(di锟斤拷n)锟侥猴拷锟斤拷(sh锟斤拷)值锟斤拷小锟斤拷f′(a)=0锟斤拷锟斤拷锟斤拷锟斤拷锟絚(di锟斤拷n)x=a锟斤拷锟斤拷锟斤拷锟斤拷锟�(c锟斤拷)f′(x)<0锟斤拷锟揭傦拷(c锟斤拷)f′(x)>0锟斤拷锟絫锟絚(di锟斤拷n)a锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)y=f(x)锟侥極小值锟絚(di锟斤拷n)锟斤拷f(a)锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)y=f(x)锟侥極小值.

锟斤拷锟斤拷2锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥極锟斤拷值锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)y=f(x)锟斤拷锟絚(di锟斤拷n)x=b锟侥猴拷锟斤拷(sh锟斤拷)值f(b)锟斤拷锟斤拷锟斤拷锟絚(di锟斤拷n)x=b锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟絚(di锟斤拷n)锟侥猴拷锟斤拷(sh锟斤拷)值锟斤拷锟斤拷锟斤拷f′(b)=0锟斤拷锟斤拷锟斤拷锟斤拷锟絚(di锟斤拷n)x=b锟斤拷锟斤拷锟斤拷锟斤拷锟�(c锟斤拷)f′(x)>0锟斤拷锟揭傦拷(c锟斤拷)f′(x)<0锟斤拷锟絫锟絚(di锟斤拷n)b锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)y=f(x)锟侥極锟斤拷值锟絚(di锟斤拷n)锟斤拷f(b)锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)y=f(x)锟侥極锟斤拷值.

锟斤拷锟斤拷锟絆小值锟絚(di锟斤拷n)锟斤拷锟絆锟斤拷值锟絚(di锟斤拷n)锟統(t锟斤拷ng)锟絈锟斤拷O值锟絚(di锟斤拷n)锟斤拷锟絆锟斤拷值锟酵極小值锟統(t锟斤拷ng)锟絈锟斤拷O值.

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟斤拷值

锟斤拷锟斤拷1锟斤拷锟斤拷锟絔锟絕(q锟斤拷)锟絞[a锟斤拷b]锟斤拷锟紹锟絤(x锟斤拷)锟侥猴拷锟斤拷(sh锟斤拷)f(x)锟斤拷[a锟斤拷b]锟较憋拷锟斤拷锟斤拷锟街碉拷c锟斤拷小值.

锟斤拷锟斤拷2锟斤拷

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)f(x)锟斤拷[a锟斤拷b]锟较嗭拷锟絳(di锟斤拷o)锟絝锟斤拷锟斤拷锟絫f(a)锟介函锟斤拷(sh锟斤拷)锟斤拷锟斤拷小值锟斤拷f(b)锟介函锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟街�;锟斤拷锟斤拷锟斤拷(sh锟斤拷)f(x)锟斤拷[a锟斤拷b]锟较嗭拷锟絳(di锟斤拷o)锟絝锟絧锟斤拷锟絫f(a)锟介函锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟街�锟斤拷f(b)锟介函锟斤拷(sh锟斤拷)锟斤拷锟斤拷小值.

锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷蓪锟�(d锟斤拷o)锟斤拷锟斤拷(sh锟斤拷)锟斤拷锟絳(di锟斤拷o)锟絕(q锟斤拷)锟絞锟斤拷一锟姐步锟紼锟酵凤拷锟斤拷

锟斤拷锟斤拷1锟斤拷锟絖锟斤拷锟斤拷锟斤拷(sh锟斤拷)f(x)锟侥讹拷锟絰锟斤拷;

锟斤拷锟斤拷2锟斤拷锟斤拷f′(x)锟斤拷锟斤拷f′(x)=0锟斤拷锟斤拷锟斤拷锟斤拷诙锟斤拷x锟斤拷锟�(n锟斤拷i)锟斤拷一锟叫岋拷(sh锟斤拷)锟斤拷(sh锟斤拷)锟斤拷;

锟斤拷锟斤拷3锟斤拷锟窖猴拷锟斤拷(sh锟斤拷)f(x)锟斤拷锟絞锟斤拷锟絚(di锟斤拷n)(锟斤拷f(x)锟侥無锟斤拷锟絰锟絚(di锟斤拷n))锟侥橫锟斤拷锟斤拷(bi锟斤拷o)锟斤拷锟斤拷锟斤拷母锟斤拷锟�(sh锟斤拷)锟斤拷(sh锟斤拷)锟斤拷锟斤拷锟斤拷小锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷然锟斤拷锟斤拷锟紷些锟絚(di锟斤拷n)锟窖猴拷锟斤拷(sh锟斤拷)f(x)锟侥讹拷锟絰锟絕(q锟斤拷)锟絞锟街筹拷锟斤拷锟缴傦拷(g锟斤拷)小锟絕(q锟斤拷)锟絞;

锟斤拷锟斤拷4锟斤拷锟絖锟斤拷f′(x)锟节革拷锟斤拷(g锟斤拷)锟絖锟絕(q锟斤拷)锟絞锟斤拷(n锟斤拷i)锟侥凤拷號(h锟斤拷o)锟斤拷锟斤拷锟斤拷(j锟斤拷)f′(x)锟侥凤拷號(h锟斤拷o)锟叫讹拷锟斤拷锟斤拷(sh锟斤拷)f(x)锟斤拷每锟斤拷(g锟斤拷)锟斤拷锟斤拷(y锟斤拷ng)小锟絖锟絕(q锟斤拷)锟絞锟斤拷(n锟斤拷i)锟斤拷锟斤拷锟絧锟斤拷.

锟斤拷锟斤拷锟藉、锟襟函旓拷(sh锟斤拷)锟絆值锟侥诧拷锟紼

锟斤拷锟斤拷1锟斤拷锟絖锟斤拷锟斤拷锟斤拷(sh锟斤拷)锟侥讹拷锟絰锟斤拷;

锟斤拷锟斤拷2锟斤拷锟襟方筹拷f′(x)=0锟侥革拷;

锟斤拷锟斤拷3锟斤拷锟矫凤拷锟斤拷f′(x)=0锟侥革拷順次岋拷锟斤拷锟斤拷(sh锟斤拷)锟侥讹拷锟絰锟斤拷殖锟斤拷锟斤拷蓚锟�(g锟斤拷)小锟絖锟絕(q锟斤拷)锟絞锟斤拷锟斤拷锟轿成憋拷锟斤拷;

锟斤拷锟斤拷4锟斤拷锟斤拷f′(x)=0锟斤拷锟侥兩傦拷(c锟斤拷)锟斤拷(d锟斤拷o)锟斤拷(sh锟斤拷)锟侥凤拷號(h锟斤拷o)锟斤拷锟叫旓拷f′(x)锟斤拷锟紷锟斤拷(g锟斤拷)锟斤拷處取锟絆值锟斤拷锟斤拷r.

锟斤拷锟斤拷锟斤拷锟斤拷锟襟函旓拷(sh锟斤拷)f(x)锟斤拷[a锟斤拷b]锟较碉拷锟斤拷锟街碉拷锟斤拷锟叫≈碉拷牟锟斤拷E

锟斤拷锟斤拷1锟斤拷锟襟函旓拷(sh锟斤拷)锟斤拷(a锟斤拷b)锟斤拷(n锟斤拷i)锟侥極值;

锟斤拷锟斤拷2锟斤拷锟襟函旓拷(sh锟斤拷)锟节區(q锟斤拷)锟絞锟斤拷锟絚(di锟斤拷n)锟侥猴拷锟斤拷(sh锟斤拷)值f(a)锟斤拷f(b);

锟斤拷锟斤拷3锟斤拷锟斤拷锟斤拷锟斤拷(sh锟斤拷)f(x)锟侥革拷锟絆值锟絚f(a)锟斤拷f(b)锟斤拷锟絕锟斤拷锟斤拷锟斤拷锟斤拷锟斤拷一锟斤拷(g锟斤拷)锟斤拷锟斤拷锟街�锟斤拷锟斤拷小锟斤拷一锟斤拷(g锟斤拷)锟斤拷锟斤拷小值.

锟斤拷锟絇(gu锟斤拷n)锟斤拷锟絔锟斤拷

锟斤拷锟斤拷锟竭匡拷锟斤拷(sh锟斤拷)锟絎(xu锟斤拷)知锟絉(sh锟斤拷)锟絚(di锟斤拷n)锟絉锟斤拷

锟斤拷锟铰高匡拷锟結訊锟斤拷锟竭匡拷锟斤拷锟竭★拷锟斤拷前锟斤拷(zh锟斤拷n)锟斤拷锟斤拷志愿锟斤拷锟�(b锟斤拷o)锟斤拷锟饺★拷锟�?j锟斤拷n)?sh锟斤拷)锟斤拷锟斤拷

锟竭匡拷锟絩(sh锟斤拷)锟絞锟斤拷锟斤拷全锟斤拷锟斤拷要锟斤拷(ji锟斤拷)锟絚(di锟斤拷n)

锟組锟斤拷"锟竭匡拷锟絎(w锟斤拷ng)"微锟脚癸拷锟斤拷號(h锟斤拷o)