• 2022-07-23
    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]
  • 解:[tex=25.429x6.5]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[/tex][tex=22.0x3.357]a0s3MH7cLIdmiBRR0YN069y1TLmajjXDC9GYXNAaRDut6IelvsEHFTPsxuK76H+UuNGan+LlyV+esrCLH+XJmC8rGmHkssKNracu0O771uDXMGQ3Uwe+kVO0AJTEcqvz6kfsbSM3c7sOowjoT50PTPVafMAr/4xDN7nU+OdFdVXCDHpDqRG8LwfLocjuyQEfCRqnozOXVF6nQmBgbqHHdO0Jn+e//62r0YU56MekU5Syj+IJvYg/XlVpo6pF7AFqmz+y7x/ffhi2t0d6hG/UUxVf9iisp3O3O6gXBMQCNLs=[/tex]

    内容

    • 0

       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 

    • 1

      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):(1)[tex=7.143x1.571]NFGVqIMHnNLTkmX4YnzW5uBz+5xWCYrJed42Ymiao30oeVGjy/ysxoKv7cX8maPC[/tex]

    • 2

      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]

    • 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]0K9Xf7VHWdVeOrSYAKIm6Q==[/tex]具有一阶连续偏导数):[tex=7.143x1.571]3K/XH1NYfBjKruPUclfCOWvJ/V2YMjS9nGXsX8sT6UmrnnOykS3q6eVVeM2qEkyT[/tex];