• 2022-06-05
    求下列函数的极值:[tex=4.786x1.357]QjHa3fHEDXJbGXE+AJj6/A==[/tex]。
  • 解:[tex=7.5x1.357]PduNZgx+x8JnGabM6B/uH1ZZqmgzOnUYABlyxMdEBe4=[/tex],[tex=10.071x7.643]Lgg2cfcbtm6Fi9INQBBIWd1MPROWPzUXh5Vw/SjnfzVVcsU3hWLDcKKxGyT7nCh+wEGjFEvcHJpxGU8I9h6PMJ3q/j8uHaHqyN2ezil1IW22zaPZ/5clZ2ZLK/XjPhKKICa64dzVv9ahUegrQZ0oLfgikFWE4Qplu1NYr0N4eZM=[/tex]当[tex=2.714x2.357]baTAVMZ44CTlmqAlbk9uug==[/tex]时,[tex=3.929x1.357]ESs1eL0TczlRLNW4ehx8rMyVzx+k/M+8NBCkVTxwq3c=[/tex],令[tex=2.071x1.357]dVkjOGKntW0DHAuXKTklgg==[/tex];无解。当[tex=2.714x2.357]1mRGZElZWH4m6l2BAgIT+A==[/tex]时,[tex=3.929x1.357]wfJkbbSQAVy2mV7ul8iB7Ga5SZMjjYg+aMqifjAByrc=[/tex],令[tex=2.071x1.357]dVkjOGKntW0DHAuXKTklgg==[/tex],得[tex=2.643x2.357]gtQR+TEljNRetexi/ERy+eR0BKSm+BGUs5v1L6gQm+o=[/tex](驻点)。当[tex=2.286x2.357]XLmuZVfc1SHklVzROLfjyw==[/tex]时,[tex=26.429x3.143]S60v9J727hrwp3G5yrySlpbiNp2EWcE4XGFz4OmQKsrrmY3RhqILgT48RpeNtShSJbIJVgH+VWkmw/vXgth8c8rroxZ/fC/B7o8Fpsbj6jvFqbH11jW0zdMyKWqrATN3zGihnc+ZFK08bYaIDYX/38RtzieyqtQ/BzgeMeWx2/nfJ+EYxo80gVme+QM5ZG9lF+WRcX2kaelfBe+t6tbZJZ+g13egu0v9iC2KdiVKH6wuSJc00EPhF7e1SeSDbrZPSwz3jMykdby/aj4iscfilP8cvqPIknqrqqKnmsT6COiN+GSsn6kG+y55hUj4AAtjeu4k7zzl+98qwO+lprkqFQ==[/tex],[tex=27.286x3.143]NHVW4jxBAknJyDCvtXblnhfIACRjaumJAZVV4J4Z3kp8GqpA2oK7POfP6psuSooAnvVCRZpsPQ/uCjLEIKHTdiI94TtuAm7P8JvL5wyT+7aMbGUJ3bFv0Sg544IDO8cr9PW/NrNg+R24oURvsD8pRQB6WIoe5KHIyqzEZFEApDULr8VBQudK0P2AF2VUrRjbV5pphziwt3HU2lbHn7o5DgB59vbDJjj7uwwgGB8EY0FHSJCdWqMotBgW9YlgtclbSBzIGF1OPAr6QCitrwphPZK1819YUg7sd77gXv3Yrr22lNEEQyFk7d2RWu5h8blqMMZylTmNV5jcNFYX+NG9BQ==[/tex]。因[tex=7.786x2.786]S60v9J727hrwp3G5yrySlpbiNp2EWcE4XGFz4OmQKsqpLh9BmRyR3HxNbU8W1FePYUxBpKECdc+Rr1kBDryjUYR8TzM9vO5Ex61D1x36ZbU=[/tex],所以[tex=2.643x2.357]XJq2EOWd6wFit1ESXXOYLm1uzxU3nPu0LUVYRFdRyKw=[/tex]是[tex=0.5x1.0]yBR4oiFoTexGaFalQ7m8kg==[/tex]的1阶不可导点。[img=1165x159]1785d13a18f451b.png[/img]

    内容

    • 0

      求下列函数的极值点及极值[tex=4.429x1.214]bx70BbW3adz0QOawXmk5AlUpUTVUO+VoITnyrIrXYOo=[/tex]

    • 1

      利用求导法则求下列函数的导数.[tex=4.786x1.357]Jxfzxe9Hpg+MkOZQII4+Tw==[/tex]

    • 2

      求下列函数的一阶偏导数.[tex=4.786x1.357]YBfJuD2Z8I7/q2H8LrwWveFkZW+MyEANnsUcKjgYPew=[/tex]

    • 3

      求下列函数的极值,并判断是极大值还是极小值[tex=10.857x1.5]UqB3ONud6ejrqQKW2SG3WPJy7y2rgiwlpWHcog11UMxQm9pFcjsCLucfxuy0ml/X[/tex]

    • 4

      求下列函数的极值:[tex=5.0x1.286]abCEMgRgQV9dOFq43LbYw6jODG+6jUI0MFy2qPN4Pxw=[/tex];