原反正切函数的导数值恒为正的导反正切函数的导数怎么画

来源：蜘蛛抓取(WebSpider) 时间：2016-08-01 12:36 标签： 双曲正切函数的导数
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/etc/nginx/nginx.conf.对于任意实数x，函数f(x)=(5-a)x2-6x+a+5恒为正值，求a的取值范围, 对于任意实数x，函数f(x)=(5-a)
对于任意实数x，函数f(x)=(5-a)x2-6x+a+5恒为正值，求a的取值范围
匿名 对于任意实数x，函数f(x)=(5-a)x2-6x+a+5恒为正值，求a的取值范围
当袱丹递柑郛纺店尸锭建5-a≠0时，f(x)=(5-a)x²-6x+a+5为一条抛物线则△&0是抛物线和x轴没有交点，开口向上同时满足则能保证抛物线在X轴上方所以有36-4*（5-a)（a+5）&0
5-a&0解得4&a&4∪a&-4赞同4| 评论
f(x)=(5-a)x2-6x+a+5恒为正值函袱丹递柑郛纺店尸锭建数开口向上 5-a&0a&5判别式&06*6-4*(5-a)(a+5)&036+4a^2-100&04a^2-64&0-4&a&4取值 范围就是-4&a&4
f(x)=(5-a)x2-6x+a+5恒为正值所以有:5-a&0△=36-4(5-a)(a+5)&0解得：-4&a&4
分类讨论第一种情况a=0f(x)=5-6x不成立第二种情况 a&5抛物线开口向上 (5-a)x2-6x+a+5=0无实数解 此时-4&a&4成立第三种情况a&5抛物线开口向下(5-a)x2-6x+a+5=0无实数解 此时-4&a&4不成立综上所述-4&a&4
1、a=5时，f(x)=－6x＋10，显然不行；2、a≠5时，此函数是二次函数，则：(－6)²－4(5－a)(a＋5)&0且a&5，解得：－4&a&4

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