求下列函数的二阶偏导数(其中[tex=0.714x1.214]ziyuOQe34Kig2p/vByr6sw==[/tex]具有二阶连续偏导数):[tex=9.929x1.571]LGrAS0bpg8lKFi1T5V+/tVL/kIg4TuFYS92Xw0jf7npMhwDGY7TFcLI2d9aa9hV/[/tex]
解:[tex=19.143x2.429]aoAtmkWSHYklGULM9bBrEvST3QileYhbMPI2Yj1BCrw9gO4/uZzRMfGOggH/VCfwMnK61YZRtBvKiKbGdpIlE8vam4hIjBpy5qFizWRlnhiSWhip07Q4XN6r9j+Llpat/DjIH4ygzU39oSeYnbagPfctv0TIm3V10pryldQaddlLUWUE/nf9d4GBAocLr0F1[/tex],[tex=23.357x2.643]aoAtmkWSHYklGULM9bBrEu+ZibjY2nY8QxzrGjlp1Jr8ukq8z1urarrigzwVKZsjhzxyHLAhS3AZtwArobuNyKgMZGWSRZiACHfpE+ktwP5TcoUCMkO+7ELgFdVRqX2TTqwjsFSYDkYthl86bzGpaVf0A8eTyGLLY+eg8Zys8a1WCCsocPuE3REsMgQ25PrPUscL5QbShnrUtx0DmRRc+w==[/tex],[tex=24.786x2.5]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia7/6FKQOU4cvFf6cTbto/ihsZzAazUEyMpdJD2XIOMALdWq4bO+FEmDL8PL1IxwpxzHPueee2gjaRVlsHgUJHJZ93eRCIKOeTXj6yOK395SPBSyTm5bv7QZsQuP09pdbGvCwbEignVxGF43ci7SlOgaG6Yu6CTsHG37A59VL3Wswk7f9TzbANiwYB+/13zKSnjYypHslKIqfI2+fxsCPbYiBuAJ9tezxvNzsu/qu/trSRw==[/tex][tex=12.929x1.571]LTpKLEXwjpeClkAi/iPj9/nBQtTxx/3FobND3lTOu0elkWWut+Om3QgaR2vbSEgslKs5vXJrw42BQ0CM58chsS+mLkA+Q5mU3pZCkhgyfFJoxm34oL8X3Pk/Mu999oBKTfXJkFRJjEY3QhfncmTQ+g==[/tex][tex=26.214x1.5]Gsddfk7MNR6JS5NMTBeQMXN919nhbY5/wYqSAhzc1BHk7hrR6wL7awUgHHZMXoPibK9EJOS8xJ+W0lGILuuKP5nc0HhOzkRlB+PuLGO1FjGlDQwHSdl/GjDvvWpxkU8JqXnosyJcKMQneC0OMpN9ouB5pVH1/YtBItrFwkN4HSB/lfueqW6fSng1TJMuNI/41e6y/3meJz/sHdio7rusgfDm1ChjcNrOMXo9PrZp5hGddet7ClcIQT9KGMy6ovR4[/tex],[tex=22.357x2.714]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia782prMu37yh9dQND/96JmweFktQ5wRSLaWnzhpCQLTSwqRUBr2z8xDx+iFzlNIAvKCwQNQYERu5X7GlmC5qHWuxB2rH6ZmUfQ7kk2dbaHOO2XUEOxWfkWJBbAEjNigbsQxR3u+ZEYE25HCHiJRREoHV6z1wCprDIMkhWVL9EGSjGOYuzJnDZIez6geF37XoMJE=[/tex][tex=15.786x1.571]LTpKLEXwjpeClkAi/iPj98Dwniv4qZWopmjsYkCBJlfWrDhEcwdWgB1mNiH0/wfz46eYldu7MEksftBNCo31jVTrXpS/B+xZyHOJcw1N8I6jvyKedBZ6UGx5ZEdMdMbnZDqJhGAkGHT2Ezcfg00ufg==[/tex][tex=11.857x1.5]nOGwLSz5fPraYk2RIyGM8w7b2c8fQP6YdnbV9/IuT46p3/41Xl069DYS4WLm4dc9QlCfmvh3qH/uXTXt4dbAxcYQgF9thS3DFAf00ZuTvYg=[/tex][tex=20.286x1.286]xXd+31qWuKy6PwrcS1o80gG9cHzcJj/1iMGH1D30xZH0LBk8sa7dymbHvqJe3XCT5mxn58obLaNy4lsbSBn05xowqg0srIHczPXRrvIFUByzZzJP43hDy2hGF6PEKBWTTfDXnx7sgk+z7OEoAjRJ76DcS6MMrJN8DSSOMQDK78Iyq4xMgXHm6fPxflc21wES[/tex],[tex=7.143x2.714]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia78c39m7LAPBvpjF+SCWJuoRbvgDzfrEJ5t4zDarbry27E8ljCSTqFrEEd4ajae93BA=[/tex][tex=21.143x1.286]sJB7VdziyBvSF440LAIpCL0MlVswCKU2tfLtEcdGbicEQUt9A7N/K2Yj8xLOdQyhFMeKOSBvvguQlfIp6WvUHw+soIn4rUcdPpLGDOM7KSBO74YHsKTLJU8bNtmabR/I/Qo5AEC5nQyeLAQZMhMjKIw2X/mp+ooatOkjSpSBx/Lz7kVtoQB7gAsFihjDi0FE[/tex][tex=14.571x1.571]vtMUpJbmrlHxQHwk5kfFnQjKnDJLFRDfSSeRurV1UoC6IqiZRdNCtnv6XuvOe6p92H/7KS9+JyBbhkxgTun6Xx6I8ZpdwnpdEk3BEEMl1P8ToI48GSxACJ+SukqTBF652jfRM19bVa1aOOjM7g2Q+g==[/tex][tex=13.429x1.5]GwRIiFqCJ9Cle8nQMFnx8vcuyvzG3K3hXrYXSD2nDaQUfHxqFvBasnZvSAzmyIqsQbAUNTWW3gwqE5bfv5fa0kKYofTccP/P8Urp9kef8rBU/5rmSziZ+h2tyQpPIroY[/tex][tex=12.143x1.286]hnGDan6Ngb0QZ0/41fjtw68nMC5abY3w1z42MVDXMGxJXGDKXHoStJhyJsm5XPq3ie5AkGQapeWROeaLhqOVX0AmzNxPOTevj1a7Z+kqJYW6LhPyhTMLt++AvF1ex4D9[/tex].
举一反三
- 求下列函数的一阶偏导数(其中[tex=0.714x1.214]ziyuOQe34Kig2p/vByr6sw==[/tex]具有一阶连续偏导数):[tex=7.214x1.571]p/AlKCi3aSRwX1SMwtz/1CdTilZuHUxfsBxjQXxFM5J4z3OvTnZl69YyarpJ6M2H[/tex]
- 求下列复合函数的指定阶的偏导数,其中 [tex=0.643x1.286]+RQz+inOZSqc5WvKyEpD0Q==[/tex] 具有二阶连续偏导数:[tex=10.5x2.714]5uz5YpWFwhy+b0+HSpWfKiIZCcQNfMD4PTUShUtDzrn2Si07CSq/7OPBX8nGWF6dT3R9uibVjC0UmtU1e57X+/3Hri/crZemFV3if5OWtVHADBilVp/lKsW+BwHMYFtCAnHCQdKWZRVeaVI41oVEY5LOAT6EGPqR44kUXkSXhzA=[/tex].
- 求下列函数对自变量的二阶偏导数，[tex=0.5x1.214]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex]具有二阶连续偏导数：[tex=5.357x2.786]LNUTXpClIljsm+BBhtqheScQO3XimE8kOdVqHPn66nk=[/tex]
- 求下列函数对自变量的二阶偏导数，[tex=0.5x1.214]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex]具有二阶连续偏导数：[tex=5.5x1.571]yZJiCELmhE7pvtaVByfLu9uqJaxOY+BVShViklEubpI=[/tex]
- 求下列函数的高阶导数(假定函数[tex=0.5x1.214]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex] 具有二阶连续 偏导数) [tex=6.643x1.571]dlIVpsmh/U6JiDzqwgzWq8hc7fZ1StuQTap5jXV1Q921YTtwagPdzit+l8yhkeIy[/tex] 所有二阶偏导数
内容
- 0
求下列函数对自变量的二阶偏导数，[tex=0.5x1.214]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex]具有二阶连续偏导数：[tex=6.214x1.571]dlIVpsmh/U6JiDzqwgzWq8hc7fZ1StuQTap5jXV1Q92ohRmCKSu+KxqfNu9ZzeWq[/tex]
- 1
求下列函数的高阶导数(假定函数 [tex=0.5x1.214]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex]具有二阶连续偏导数)[tex=8.643x1.571]cBzc2zIhtWu+E76F/0ISg1P/d9qMRaMY/JDfz5Kpyg9Nm/jXLa8N0Q9KdyogZGuZ[/tex]所有二阶偏导数
- 2
求下列函数的高阶导数(假定函数 [tex=0.5x1.214]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex]具有二阶连续偏导数) [tex=8.929x1.357]UJoo0zcOArEQKgR75g5Sx6C4y46xVRVEowa1TABm0PAjkAvURIYTivPV8yMajOY7[/tex], 所有一阶偏导数
- 3
设函数 [tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex]具有连续的二阶导数或二阶偏导数,求复合函数的指定的偏导数:[tex=10.357x2.714]gwdbS+1MJKky8fYwHYEFbzdBjfjaaQKp+/HaEd1goXpX1IL/+CFKOMTlGhe1X1suSHVgVKtMx2AWu8vOSxtg2fmSEy4VJfddQ1i3CBdV4AaeKYHZOpDQsupE6HyI2JRi1q8NULSbhksXVuc+1CiVAQ==[/tex]
- 4
求下列函数的二阶偏导数：[tex=4.857x1.357]pQk+SVI4sf8kClu1XDjBBg==[/tex]