举一反三
- 设函数[tex=2.786x1.357]KN1cEGuKT98koVu5UluwvQ==[/tex]具有二阶连续偏导数,[tex=4.643x1.357]jEbkPlhIo7b25in8MVcE6g==[/tex],则[tex=3.357x2.714]Hvc3DRViYQYrFC7OWnSXU8sm/Pmd4fpXiN2+clQYNt5/RjpAQPH7J3Z2mxPevMqv[/tex]?
- 设 [tex=8.286x1.357]l/AoV3IJ+SM0iOvPI6Mwznd+p9s6w9Y8vYWqDx69yMXd2Le4kQMC9YiiIDMpR3C7FHG44h4GFUOptHhIWDsVjQ==[/tex], 求 [tex=2.429x2.714]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia78iJZ0SeV8yp+UyBNZsXbfI[/tex], 其中[tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex]具有二阶连续偏导数.
- 设 [tex=9.643x1.357]vL3ToFMk/85qAMd4Wt/ebPks9Zbvsnkpk6T2SDjZV9M9Kn6TxYQ2UJTLJGbhEVEp[/tex] 其中 [tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex] 具有二阶连续偏导数,求 [tex=2.429x2.714]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia78iJZ0SeV8yp+UyBNZsXbfI[/tex]
- 求函数[tex=3.286x1.429]kdT+eIE7CHPynuN6CaN40g==[/tex](抛物线)隐函数的导数[tex=1.071x1.429]BUw1BPFU3fsJlAl/vt9M9w==[/tex]当x=2与y=4及当x=2与y=0时,[tex=0.786x1.357]Hq6bf3CacUy07X+VImUMaA==[/tex]等于什么?
- 设函数 [tex=2.786x1.286]I5lSigGM5k+9fyVpBX3smw==[/tex] 具有二阶连续偏导数,[tex=5.143x1.286]w0NXLHnG+61nvSCWyxsASw==[/tex],则 [tex=3.5x2.357]jNW9Dgp6b8S7Im6cufFlxtoCNY9RV3c34EyB0iDMH+Reh4p9VikpFjlv5R6hluze[/tex][input=type:blank,size:4][/input]。
内容
- 0
考虑二元函数 [tex=2.786x1.357]g1Wo3ALRzTk0js5m9GO2sA==[/tex] 在点 [tex=3.071x1.286]cSjGHqCnItShrO6H41ZST8s5v6AHO0ktGOR16s+kL4s=[/tex] 处 4 条性质: (1) 连续,(2)两个偏导数连续,(3)可微,(4)两个偏导数存在,则 未知类型:{'options': ['[tex=6.714x1.286]hd35pNaA0Eiod8MTmFaGgomYJBkfxcNNvnWevNvPTwMSydbpVrPrhMJ0LU8O97Zy[/tex]', '[tex=6.714x1.286]cYYmka0YgBDD439OD8YNwz4bkVJwCFlEEDGnhT6XGdiezZJkBRlts2vKWpBfQmRU[/tex]', '[tex=6.714x1.286]cYYmka0YgBDD439OD8YNw0ELizSCnLXgyBFl6JWuZ0CbAT9eBgE3kPOkvkvYcDKJ[/tex]', '[tex=6.714x1.286]cYYmka0YgBDD439OD8YNw+K/wZl+af8MPlcg6Vl771DZ9E/n1OLTs1Rt7tiyNPo0[/tex]'], 'type': 102}
- 1
设[tex=0.5x1.0]wPh71/L+tm8emC/JD+8oZg==[/tex]二阶可导, [tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex]具有二阶连续偏导数, [tex=7.786x1.357]fd6LoQAao/iFvI24VALBdaLNui0UE78FdlpqmRwOjgk=[/tex]求 [tex=3.357x2.714]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia7//LTMvnADOFsvt760Q+0LY[/tex][input=type:blank,size:6][/input].
- 2
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].
- 3
设 [tex=8.929x1.571]P0bwn3Guh3GLFnDC65oacBE/EF/sVvzCVnD7LP/g4R8G4Z+9EDpF0inUAHnwEWSy[/tex],其中 [tex=0.643x1.286]+RQz+inOZSqc5WvKyEpD0Q==[/tex] 具有二阶连续偏导数,求 [tex=2.429x2.214]V9fVXReHUrcmKJSTnoNlS2Z4ds4ckDu1VQE7Uc4tGnMvkMMol5aiJEDDcySioEDE[/tex] .
- 4
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]