设<img src="/lqwvjeImg/8f/8fd9d461bb6ddb94d5603719158039f4.png">在<img src="/lqwvjeImg/d9/d90710321b04ef193159ab2606478919.png">上连续,在<img src="/lqwvjeImg/1f/1f34e25c35d7a22c56b982963fd16d72.png">内可导,若在<img src="/lqwvjeImg/1f/1f34e25c35d7a22c56b982963fd16d72.png">内<img src="/lqwvjeImg/8d/8d173456bd5413f9488dfbe08fcf0de6.png">,且存在唯一的<img src="/lqwvjeImg/26/264effc2a80120ce9e9a6924ac527a49.png">,使得<img src="/lqwvjeImg/ea/ea7aa1bbfbb6c624fadcc0e9e1ed3e34.png">,则<img src="/lqwvjeImg/8f/8fd9d461bb6ddb94d5603719158039f4.png">( ).<br>·在<img src="/lqwvjeImg/28/2838b655027bcb4af9f61ffc89285954.png" 内恒正,在<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/14830912671881b451a7215a047f5ac166087bd543e24image121.png" 内恒负;<br>·在<img src="/lqwvjeImg/1f/1f34e25c35d7a22c56b982963fd16d72.png" 内除<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/14830912672572d78e3ce621b4a43b583a07d79bdb790image123.png" 以外,还有<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/14830912673073c1095c1da184eca858109a9ceaf4ae8image124.png" ,使<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/14830912673671f8cac0ab9af41ef924c558870e00cc4image125.png" ;<br>·在<img src="/lqwvjeImg/28/2838b655027bcb4af9f61ffc89285954.png" 内恒负,在<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/148309126745653137d97621f4a559fa4ea953976971bimage121.png" 内恒正;<br>·在<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/14830912674956fd373476fc142ccb8d7980a950972ffimage126.png" 内满足<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/1483091267536433cf7cb7c724e7581986b25cfc2d998image127.png" .<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/148309126758796267a6595254f049084e1133b293a5bimage128.png" .

设

在

上连续,在

内可导,若在

内

,且存在唯一的

,使得

,则

( ).
·在

·在

·在<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/14830912674956fd373476fc142ccb8d7980a950972ffimage126.png" 内满足<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/1483091267536433cf7cb7c724e7581986b25cfc2d998image127.png" .<img src="https://s3.cn-north-1.amazonaws.com.cn/qingshuxuetang/examination/imgUplod/148309126758796267a6595254f049084e1133b293a5bimage128.png" .

出自：佳木斯大学语言治疗学

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