求下列函数的导数[tex=1.357x2.429]cWJSHEWUlBufMLmyWX04BHmYWTZFPPC9q3vmT7wjxc8=[/tex]：[tex=4.286x1.214]OZbHlLzNTvgC1Z7ZmvcsjA==[/tex].

用导数定义求导数：[tex=3.571x1.0]jvDXr141ASoMfv4ROQ2oXQ==[/tex]，求[tex=1.357x2.429]cWJSHEWUlBufMLmyWX04BHmYWTZFPPC9q3vmT7wjxc8=[/tex].

指出下列算符哪个是厄米算符，说明其理由。[tex=1.357x2.429]7vsz9xmEzjVcEYjepGDx4A==[/tex]

求下列函数的导数[tex=1.357x2.429]cWJSHEWUlBufMLmyWX04BHmYWTZFPPC9q3vmT7wjxc8=[/tex]：[tex=7.071x1.357]zx/VH5/tFfnf5AZffdB9gqJBvAuCMOIkkCi9NkHfyCU=[/tex].

求下列函数的导数[tex=1.357x2.429]cWJSHEWUlBufMLmyWX04BHmYWTZFPPC9q3vmT7wjxc8=[/tex]：[tex=4.286x1.357]UKrH491Se7JS7r9/iOl3dpVE44ZQ/3wVBiPzoK6qlG0=[/tex].

设[tex=3.143x1.357]ee8UVMi6ncRcyeiuuPl14g==[/tex]由[tex=8.643x2.786]7EJHVCtO2IWq3KpdB+jQsgcXm3yKLV3elt8+G658U6J8obOMTL0XF7ZuYEEyUg39xHxxAhHwL3a987jGqj7Xua88e6NNc1dqpXBaGKk1rbF4xLfiJ3Ukmv5vbs7mKY5L[/tex]所确定，求[tex=1.357x2.429]s4QumE5pv31BDaGg1MTOdLPnauuhdcqJ6JJH2kwkuKY=[/tex]

设[tex=13.214x1.357]NTq6mWJntceECG8csuZ0dbElia+YnCutFzkNP13DrJV54PE4pEN8aR1Vf5kApXvnKFycdUG3yq1I5uyUt9e0XQ==[/tex]，而[tex=6.0x1.143]uDDBXRjoreC/gacuNwV5lSppAZbq9h5n2dkjedU+0/c=[/tex]，求[tex=1.357x2.429]VGXzV15psxV0cBMwKVrVbt1Ht1JWfK24TOnguIdEskwjOu2HBwNeV3rQbVA+pQSz[/tex]

已知[tex=7.429x1.786]Z84b5rqeGSfINslmrwicSashH/Bcg4qTvev6IXAgh+y/2UpV+unfdjat8hwMWBw2[/tex]，求[tex=1.357x2.429]VGXzV15psxV0cBMwKVrVbt1Ht1JWfK24TOnguIdEskwjOu2HBwNeV3rQbVA+pQSz[/tex]和[tex=1.286x2.643]VGXzV15psxV0cBMwKVrVbqJ7PmxYc1MsNBUFAA6wzEJStnsXpbAVw/rczU0WmdE1[/tex].

求下列复合函数的一阶偏导数:设 [tex=8.786x1.571]oN2opGVBELD+YJ8zbPlOdE7h+db8PyoHo7RFXkYlS+sV76VYyCvtJsvMmEao7Eft[/tex], 求 [tex=1.357x2.429]aoAtmkWSHYklGULM9bBrEhK70yfgpzgiO6THZSwMVCE=[/tex] .

求方程 [tex=6.357x1.214]+kmcBu5HjlB5ZnEn/XITyvCYIJEjDip7OHEBgst6Qvg=[/tex] 所确定的隐函数的导数 [tex=1.357x2.429]s4QumE5pv31BDaGg1MTOdKk/Zk98+8SCKEM5QkUcGe8=[/tex]