求下列曲线的凹凸区间和拐点:[tex=6.071x1.571]zGWxI6NEgTymOoyE91Uzh2+ONE3Gl/qnTDljPCs9Bg0=[/tex]
解:[tex=4.214x2.429]y4P2rFGiCrZYvm8e6mlNj7ZsVfdggoR/hwyMj3zECiKuLaA1MTXBQcYmqHVTbxJD[/tex],[tex=18.643x2.643]Ei2PZQl92La73hUrygebc9rEv4aM/nuRlYWmsfXTd3kvL8rGXkcH1w8A4B1cJmSKlAaxY5tVCj7wvhKuBdUxW8xpIjPPsOr/bSR0xZHS/aNMkzrrVFwCmK6n7o+maGCxz9DlhebxBnJJKrxvqbxYz87DBXF4YI55CovdE83rk4G0j/IjOjsgUb64i9/ivqeB[/tex]令[tex=2.286x1.357]rjzw0bBUODiY66l+Mq83xMeaWrdpdE5ys4zKZgPVg6k=[/tex], 得[tex=3.071x1.143]Y6wNGbMhSrW3+eKfYikE/A==[/tex].列表讨论函数的凹凸性:[img=842x99]1790967c5f08704.png[/img]所以曲线在[tex=4.143x1.357]DQMGafS5tZlPQmiZcaaHow==[/tex]和[tex=3.5x1.357]1Z/WaMlYSjY4bPqGJqC2IA==[/tex]上是凸的,在[tex=3.0x1.357]hCUpMH37yix3aqPLXiFgJQ==[/tex]内是凹的,拐点为[tex=4.071x1.357]roUVHzkozpcrk/UZMssonA==[/tex]和[tex=3.286x1.357]CFWa1Ujw1l/RLO7Z1JUY/g==[/tex].
举一反三
- 求曲线[tex=5.643x1.571]zGWxI6NEgTymOoyE91Uzh2+ONE3Gl/qnTDljPCs9Bg0=[/tex]的凹凸区间和拐点
- 曲线[tex=6.071x1.571]zGWxI6NEgTymOoyE91Uzh2+ONE3Gl/qnTDljPCs9Bg0=[/tex]的拐点是______.
- 求函数图形的拐点及凹或凸的区间[tex=6.071x1.571]zGWxI6NEgTymOoyE91Uzh2+ONE3Gl/qnTDljPCs9Bg0=[/tex].
- 求下列曲线的凹凸区间和拐点:[tex=3.286x1.357]K8SWSVGfOyfZmhW7vblj2g==[/tex]
- 求下列曲线的凹凸区间和拐点:[tex=4.643x1.429]urMLxIFADo6e6xWUdTKtuQ==[/tex]
内容
- 0
求下列曲线的凹凸区间及拐点[tex=5.643x1.571]gfOAPSfuMPs2cOb9sp9hRIIuvr3yu7dQPxHipm+XRvQ=[/tex]
- 1
求下列曲线的凹凸区间及拐点：[tex=5.643x1.571]iOrSJ0jQcc5hUdee0XK8KGl8nG6+lgzp6E2mkyV+UrI=[/tex].
- 2
求曲线[tex=3.286x1.357]N64B0bfjNazng09/CooVYA==[/tex]的凹凸区间和拐点
- 3
求下列曲线的凹凸区间及拐点[tex=3.286x1.357]Xldl/jyEodxjIYinoS8jgIkWtWsdeYy4WoX8HumQcZw=[/tex]
- 4
求下列曲线的凹凸区间及拐点：[tex=4.786x1.214]xLT19p0A/9vepZ9RMX4Tjg==[/tex].