求函数[tex=7.143x1.286]+cE3wUNQTmbqzL/vhWD8qVpWABw3ITRqEuOsSiC0cqCgLXD/yiOQG+kX/HT6AzDV[/tex]的微分。
解一 因为 [tex=17.357x7.714]Qmo36zUPPqRNurpDs5AcLjeh2Zkn3aHn7+KDIAF//wsm8aFVHhRjPoXDkzWR1brTGWzy7pa89Y8XLqwLYFuwiZnQl+4hTSfgH6GeC02UPYNXeBJ0fR0KX0tf/2PAj/7UsR/7GIdmdHGWCv7mCIn0dmZLroZCSieBngzVlOS4yJklLn+Zdoc/+0l5FACEwvo22hVxXH/D6fnVmGSjTcMqfSqQ8ccOfmidISI9BWWaK2OdPE3JDQUs/X3bWnDNQbeOfMYJnybIinwdtHAu4MziDhC1v5kC9IEAd+PFkZRcb1cadU8sErUYC3LRCXKVtRld6+vKLoIja+rdDEK6Ef6DII4AdAkPmBo+5nIbPFXveK50UPpkVL7eo9MlX/fLi1hMDQbEf0AtmdCThkG2mcm6FEO12GqzfbUV31SdchnnWLTWkPrqKvJUXmvPfgV1WEdcUKj5uSX2SuaETaVADGVRiQ==[/tex]所以 [tex=11.071x1.286]LNNzMGIiijYijDi/qOLJ651AxtJoUmWumBV6j10SYTCMp38Ah5hErBkt8xDGUuyj[/tex]解二 [tex=23.929x4.643]n4F7ffDoJsE6X85MJ9arVFVUtRQqApr+2IkmCbNDO4heWsWJrMxKaG6i67Bwqql9V3f1Ybakiws9Q4uki8dEE3a2UbV899SutHuFvibxo8PpiRDedY2U49tc9Pok13P07t+enJtrzA+CQKZacfjfwWq0gH1kfKrR84b7BE9RyMSmvDfziP2XhPS9CRwbZ97mTYoEp/uLESd8O3QH3x/VaqFkN26QBXLue+KkP2CBTvfVrYQlXBQ7+o9QJJS9Tiph[/tex]
举一反三
- 求函数 [tex=7.857x1.286]eohc+oweWH/Eul6MGf7qvQXugPTTY6UdtBMSmdYaX/8=[/tex] 的微分.
- 利用微分求近似值(3)[tex=4.286x1.143]u91J8IXekBoos6VhDG15TV9pSRr9L8l6wHdON2XBUb/pQnNbyvoWw+I30DZOKlNA[/tex]
- 求下列函数y关于自变量x的二阶微分:[tex=4.5x1.429]kPJz3gYAhU9h1Rl7cUJtrA==[/tex]
- 求下列函数y关于自变量x的二阶微分:[tex=3.643x2.357]pSdofl5T9n1ZEvYrF0AJctqaFS6gZ74LY5MlSkGlchg=[/tex]
- 求下列函数的全微分(设其可微):(1)[tex=5.429x1.286]S0BFrBqre6Af5Gp+nOGKRA==[/tex];(2)[tex=8.071x1.286]ErRQ9jHNUTcVvKf+dhU+Kg7BMAKqKksqwC9F4wBNmOQ=[/tex];(3)[tex=10.0x1.286]YWYBASUY/nkH9xj3J/TlpSGNivDvLj4wGzpayk93MdyPl1ftqyX23inlZRaPzAVG[/tex];
内容
- 0
求函数 [tex=7.143x1.286]dBdHUlfhfDM4mOEoa6RSg32q2E+YMvEF0rX9itCRAoo=[/tex] 在给定区间 [tex=2.714x1.286]PB0SemuFbFRpA1EYd6Qa7w==[/tex] 上的最值.
- 1
设 [tex=4.929x1.286]24fVQLH1rIGoLdcOSPJam/9iN2ee7G659O4mkjqiFQQ=[/tex], 试问在什么条件下才能保证下列等式成立:(1) [tex=7.143x1.286]OIvu2RAPT/M8dkzpI5C0M77D1AEXeG/brWHAEeYdauU=[/tex] ;(2) [tex=7.143x1.286]RTGQXIMi+ABJ6mCcg6dOoVllUb8Snd1mA425GFxcbow=[/tex] ;(3) [tex=7.143x1.286]QA6LejCV0N5UypiOmPvvjU3eI7Fcs8v5JfobZwd/3W8=[/tex] .
- 2
求函数微分: [tex=2.786x1.429]Zr3THXNvGpepVUx2F5zCDw==[/tex]
- 3
求函数微分: [tex=5.0x1.357]vC+sFPGZRVRi0URrstvFViWSCYvVnZfaeiD+OzcRTg0=[/tex]
- 4
求函数微分: [tex=3.429x1.429]n7Yrf1tujqxhpmmnXhKXkA==[/tex]