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单选题 用对数求导法求 
的导数时,第一步应( )
A. 取对数 
B. 直接求导 
C. 写成 
学科：应用数学
时间：2025-06-14 15:20:31
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题目1单选题
函数 <img src="https://tihai-oss-cloud.itihey.com/img/78b393d12545bd851ec92dfc5bbb39d7.png"> 的导数为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/eb9ff4da5aa6cc47db2dacd2e54a011a.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/b8fc8641b970eeb14ec39eb72473c8a7.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d49ab67ebfd4027f385b2203e56f9240.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/d7a17f2167efb5fcca7a802b932cc7dd.png">
题目2单选题
若 <img src="https://tihai-oss-cloud.itihey.com/img/761a6b8d7b268e70c685178ec7b41acc.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/1683957b670287d35e7c4b6eda9ae439.png"> 为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/0d451d0f494efd093656225bc466069d.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/d5835eac7d6bf4a7047f94a307e0f557.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/639be07f2c005c9d99e1a32a7e7a8f6d.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/fa8fa2bfab68566bb70c9c2dd7654062.png">
题目3单选题
函数 <img src="https://tihai-oss-cloud.itihey.com/img/534753b9ce72b46b19b1199160ca871a.png"> 的导数为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/5adcf6e79b7347151de38d22adad707f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f58bb7bfbe3fa97fc805c761157d847c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/703dae31bca39c392864936aa03747ff.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/31fd79fc967868189a9939e697fc38f3.png">
题目4单选题
由方程 <img src="https://tihai-oss-cloud.itihey.com/img/ad2573ed46efdfafbd3062f860a1ab62.png"> 确定的隐函数 <img src="https://tihai-oss-cloud.itihey.com/img/71ba66f6cbb58791b2c109c9a952ff5a.png"> 的导数为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/389ecbf3b69688634c15fe7444ff84fd.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/4436eaa79c5083b57a38cbb9deb89f96.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/5a2a9fccee86806a7083cb829bee848e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/0f61f172017a726bea423454daa6ec79.png">
题目5单选题
函数 <img src="https://tihai-oss-cloud.itihey.com/img/1328491ae0a17c5544f7f2f607d65466.png"> 的导数是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/e1fd45085cb3bfad4e476d78eff4ba1e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/67fb6883617cd973776b018bece37c13.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/1d1aca465e68267d7dbba5c542187570.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/2aaa5619032312e8e07e906f371bee3c.png">
题目6单选题
设 <img src="https://tihai-oss-cloud.itihey.com/img/3b71003136e955d76d4a01113460ba49.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/1683957b670287d35e7c4b6eda9ae439.png"> 等于( )A. <img src="https://tihai-oss-cloud.itihey.com/img/3e43bc0b6b189a63dc9d4f8b311725c1.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f851f637125e1ff95be4ba4b4e910f2a.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/40829f4cdedac9c64b84e3f504370a6f.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/cf618f9717af7681f10d7b22fe2e0a08.png">
题目7单选题
设 <img src="https://tihai-oss-cloud.itihey.com/img/1e40d838b4f3da0b1cc8b690d7fda30a.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/a101633d10094fe46d5594d19870a57a.png"> 等于( )A. <img src="https://tihai-oss-cloud.itihey.com/img/4bc0e3e4312ad22f54cee97b2be6f2b3.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/55a1d6865168a9f875b84fa1dac37a25.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/32c2b4f8277ac7c92ad985a015eedc87.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/e53f26d232309c245460d500ac7b9375.png">
题目8单选题
由方程 <img src="https://tihai-oss-cloud.itihey.com/img/efbf65fddb985488db6285ea5e7bb867.png"> 确定的隐函数 <img src="https://tihai-oss-cloud.itihey.com/img/71ba66f6cbb58791b2c109c9a952ff5a.png"> 的导数为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/5a2a9fccee86806a7083cb829bee848e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/5ddcc106769228bde68989ecfc0b828d.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0dc88bf904566036cdcb0ded80a43cde.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/0f61f172017a726bea423454daa6ec79.png">
题目9单选题
若 <img src="https://tihai-oss-cloud.itihey.com/img/0372b9fcf0d778548ffe0d8107da6fb3.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/0f674b21e7d775731e97bb0d7927a57b.png"> 为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/9ba1dba6476cf749717f8094ecc6cb62.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/cb082192f00f4a3d785a759087c9e203.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/9b6571b33d32af1ab152398794a132d3.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/ffe20ca10d8e532fcc33bb2815caca16.png">
题目10单选题
用对数求导法求 <img src="https://tihai-oss-cloud.itihey.com/img/12a438331380293b14c08486fdda94b9.png"> 的导数时,第一步应( )A. 取对数 <img src="https://tihai-oss-cloud.itihey.com/img/7f0f7b9f64dc4c96a88ab5b00f9eee8b.png">B. 直接求导 <img src="https://tihai-oss-cloud.itihey.com/img/ff945013c5a5a04435f1a39ded3ae43a.png">C. 写成 <img src="https://tihai-oss-cloud.itihey.com/img/53c97cf87ec62d97735c5ba7c180ecc9.png">D. 对两边积分
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