按定义求函数[tex=5.0x1.286]f/AjORcdq3jZ0yXvtYoRDg==[/tex]的导数，并指出导函数的定义域 .
[b]解[/b] 当[tex=2.429x1.071]OzPPrz6gTnA2Yob/utMvAg==[/tex]时，[tex=3.357x1.286]aioBMzvqzBeZ8o5EjtXw11ko6fEFm0b5Hnz+INFKXlA=[/tex][tex=11.5x2.071]8+/oqxHVkhUml0LAR1kATnq6F5s90nvu5Ren0B6O5kd3qYcp9GFZmKTmiUzPbyzfJpKG4HgVBgVsidwFn95zfAdFcEAjnnzO9S7cH+ih6Zs=[/tex][tex=14.0x2.071]8+/oqxHVkhUml0LAR1kATnq6F5s90nvu5Ren0B6O5kf6NPPTjuj1oNSEh/9Kv0oku3KNcy89XYPCCt0iu7dWK1n9YGapBhuyhqWOPDy8Zxeum3ryZM/oQgUeSCZy0+nR[/tex][tex=10.143x2.143]8+/oqxHVkhUml0LAR1kATnq6F5s90nvu5Ren0B6O5kchxsMe1lMEEDVdnne3L97gVIHpwFRpx2B9P8mg96hivj4l8NWha4rnk2DRDEoOVLY=[/tex][tex=1.071x1.286]tozgWPWnSXID68OhDFVaDg==[/tex]；当[tex=2.429x1.071]sdDCI5DqIfJOgLlANhVlXw==[/tex]时，[tex=3.143x1.429]jMBnwzln/BX5k4C15dlyyQ==[/tex][tex=11.5x2.071]8+/oqxHVkhUml0LAR1kATnq6F5s90nvu5Ren0B6O5kd3qYcp9GFZmKTmiUzPbyzfCYledyXgwqF8SIK0HSLIiZ5bywjvyCMcKyP+AyyRrj8=[/tex][tex=14.0x2.071]8+/oqxHVkhUml0LAR1kATnq6F5s90nvu5Ren0B6O5kchxsMe1lMEEDVdnne3L97gsFd8ZVxtECUJulK5p1QkJKMTLNpXadGXx0fyxj2y9LiX42II1anv0y/G8MaYSAiZ[/tex][tex=10.857x2.143]8+/oqxHVkhUml0LAR1kATnq6F5s90nvu5Ren0B6O5kdoRhnS2rUxyHwWknXS4KTy/KzjOnz5VWm5thihWUdqyb4l7CrxgHYN3URzmJdevUk=[/tex][tex=1.857x1.286]WRlqLSj22vWYcdTfiLukNQ==[/tex]；当[tex=2.429x1.0]sQ8UKBTHa4u9aJQTaFsBAg==[/tex]时，[tex=3.286x1.286]MJYS8b8u42rP2TnqvfzBf24UQtYGSndRD1nndkKyZR4=[/tex][tex=11.357x2.071]8+/oqxHVkhUml0LAR1kATnq6F5s90nvu5Ren0B6O5kdZfIVbtkcMhoN/CN73tqRhOfiljnwv/eECrdkWNQbKQ8foKlpdgIkOY7iTDieDvGw=[/tex][tex=7.714x2.071]8+/oqxHVkhUml0LAR1kATnq6F5s90nvu5Ren0B6O5kd8hdImCSV5saHQZaafJoIQXVvmVdFuBy4ZZ9fG9k1svn0pi3Kugvu1PY+O4jIZJVM=[/tex] .因此，[tex=10.786x4.071]hokQMxnFxitFTH5cRPTsTsCUM26bfxxqTGZ/lKD6DMGenJ278DO/vNLfDDw7FwAYQYnY2cA13OMQiCcH+zCUkqy1WyH63c1rRH4TpUXce7mslkiKQMWQxiJ1J9T6C8pn[/tex]，其定义域为[tex=4.643x1.286]kWKrbE2Y4JZYxfdbsdRqUvt8T2qNtBnhIme8hhtrgR8=[/tex] .
举一反三
- 按定义求下列函数的导数：[tex=6.071x1.357]uCeUp8dQeWNwFPG70frmCw==[/tex]
- 按定义求下列函数的导数：[tex=4.0x1.214]AuEyCvZlgU401KwS18Pjbg==[/tex]
- 根据导数定义求函数[tex=8.357x1.357]Kh4RslCnxgXSOLQlPlFmwpkBDVAxODVX9RFIYWGOtSY=[/tex]的导数。
- 设[tex=1.857x1.286]G6WxJ307HB2e1l7Qz3uNbQ==[/tex]二阶可导，求函数的二阶导数[tex=1.0x1.286]Ei2PZQl92La73hUrygebcz15wd4b4xeyYibeKsWTcU0=[/tex]：[tex=5.0x1.286]NmUBiiLx4LQhRruO574Au99B+4uTgS5DhS+o+K9cnJU=[/tex] .
- 根据导数的定义求函数[tex=3.571x1.429]6S6xXM53PovdQK3FvwbQTg==[/tex]的导数.
内容
- 0
用导数定义求该函数的导数：[tex=5.643x1.5]Gpzf+ZHki+GIJqpq8mOnb6mkx3Lt2+TMsGMV5fSDiec=[/tex]
- 1
用导数定义求下列函数的导数：[tex=4.929x1.357]u7NhRE2L9oLtVkX4UyfHFw==[/tex]
- 2
根据导数定义求下列函数的导数:[tex=7.143x1.429]+/esRKyWLMPpTBERAVBJrJeOvDtNYGKtEgFcGekb+y8=[/tex].
- 3
根据导数的定义求下列函数的导数: [tex=4.071x1.429]aNKc+RXcU6Wc46ap9kDsNg==[/tex]
- 4
求隐函数的一阶导数和二阶导数：[tex=5.0x1.286]JlYyv091qvqfvwJX4SpmHWtdsN5jAaSLa/x6CrGlbMY=[/tex] .