• 2022-06-03
    设函数[tex=0.643x1.286]+RQz+inOZSqc5WvKyEpD0Q==[/tex]具有一阶连续偏导数,求下列函数的一阶偏导数.[tex=9.929x1.286]gMsqWKQkmGn35cfWZt4F5PbwcWma52DRHw3CwYo3MqY=[/tex].
  • 解:若[tex=5.786x1.286]61zEW4yNC04xaCI3hMIInJGWLM9XJ+uglaEg9BIpIF8=[/tex],记[tex=6.929x2.071]V9fVXReHUrcmKJSTnoNlS72yjz0+LaX8VVYvnnGBZ92qTtWIzw51NqBrozPZPcRYPgNXArUgKgEEdSQtk5k2gw==[/tex],[tex=7.0x2.071]V9fVXReHUrcmKJSTnoNlS72yjz0+LaX8VVYvnnGBZ93VacQBR9gj2sc9R1BrdERDFhj6Ohmkj9f9SIRVzhs3Uw==[/tex],[tex=7.0x2.071]V9fVXReHUrcmKJSTnoNlS72yjz0+LaX8VVYvnnGBZ921OoyABWLrzGM3to1TBxpVZT/hByfQaQdho73dR37+Ug==[/tex][tex=7.786x2.143]V9fVXReHUrcmKJSTnoNlS0AcWJjn2TaLKK37jYfA85sooZDzmgLigEgcheT+M/LUFFGHofkclKy+IV2DZhyQxOudN7cyjQm2zIpcCs+bmtY=[/tex],[tex=7.786x2.143]V9fVXReHUrcmKJSTnoNlS0AcWJjn2TaLKK37jYfA85s7Tv3XHaPLagu/cXmooERBHDAjfNhpQ67P1cNT2kJcAaplr/B8cZjo1qQuHUbVeba8jwDIko0R7tmhYtBOZNDv[/tex],[tex=7.786x2.143]V9fVXReHUrcmKJSTnoNlS0AcWJjn2TaLKK37jYfA85vE+vNV3LrpkPRk5k2UJEXtXJx5QBKmKwix4ucfiIR0pkBfcbHJP64d2FzlmkwYw/aG0QUZFxZRTpXT1mBzC4/K[/tex],以下类同.记[tex=5.071x1.286]Vd3ck5UMX9IK5MPXgtyUgg==[/tex],[tex=5.071x1.286]IzaHqtpaaFXljoR+psCKyA==[/tex],则[tex=4.571x1.286]wcwm+KLzNfxLMOeenqTSWw==[/tex],[tex=15.929x2.071]V9fVXReHUrcmKJSTnoNlS6Ff1/BpV286INVZ6gU3ArNZdRZLRuMpW/gBMBsGh2Ln9V4tBZ00LRsTORUHg0nazzgNH1eGDN8vUuyrp/fFpvCVxaCie/b3XutmuL0VafSUtDkngSfm4m1iVqTmBn9WDd/Ogb+d+cT4rzzMq+qKi4DylvBfLX1CoBYMQfbPZpC9QX3BaPjIsOudDg8jYcXocqShqAWOwmFrmEGiTIRAHvy4IVt33HDm5WZOaVBUYlKmlcPLrrN3S6K14TNDE8ep9g==[/tex],[tex=15.857x2.214]V9fVXReHUrcmKJSTnoNlS2VH85Q2O3lrqDC96Fb5StT18Shm+jLpPSplZA+yFHLlVSRuouKQNMg2oBxzJ3xOD6cOyBs5Nsi91N6wxAkbNvquNv0KIAdfLN3V3bn/LTKiaFxpR9qVn3rac1jNQKPuBQoTPaIACt8oAfhzEQemTEBPHR212TSxODKu9lK5dDlHOxQDEQxEOeclzt7zDKtuy9dCDCtxgwGmUCuCf+uvZQC7YoLITetAiuCL2p5kyKSX0d99iTxnMXATZmj0yR1Ubw==[/tex].

    内容

    • 0

      求下列复合函数的一阶偏导数, 其中 [tex=0.643x1.286]+RQz+inOZSqc5WvKyEpD0Q==[/tex] 有一阶连续导数:[tex=7.429x1.286]g7+TjCPlnFwbUQr0o3xW5nXfrfg8eV2MxDYn3GaSSsc=[/tex].

    • 1

      求下列复合函数的一阶偏导数, 其中 [tex=0.643x1.286]+RQz+inOZSqc5WvKyEpD0Q==[/tex] 有一阶连续导数:[tex=7.357x1.286]n6CQqfUE+QUuPWNrG5h3wEVr8hFHqEtVtPPNCAZP8GwPhSBMLYVIbafZSMyXGENL[/tex]

    • 2

      求下列函数的一阶偏导数(其中[tex=0.5x1.214]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex]具有一阶连续偏导数):(3)[tex=6.357x1.357]fQCQ7vHs+rqowuLJLF5hSzjCC9lFaWXA9h//grquBiQ=[/tex]

    • 3

      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].

    • 4

      求下列函数的一阶偏导数(其中[tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex]具有一阶连续偏导数): [tex=6.857x1.357]gIhqi7Sltyhjz3XNe5vXm+FvAktGtaBCED5ki0zs5NE=[/tex].