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单选题曲线y=lnx在点_( )_处的切线平行于直线y=2x-3

A.

B.

C.

D.

高等数学（高本班）课程封面

学科：高等数学（高本班）

时间：2024-12-24 10:05:14

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设<img src="https://tihai-oss-cloud.itihey.com/img/00301daddfc37c502618a7325f005075.gif">在<img src="https://tihai-oss-cloud.itihey.com/img/43c8dcede48330583804721d133e64ae.gif">处可导,则<img src="https://tihai-oss-cloud.itihey.com/img/996a3d1ba7eca60291b27e1af01a1135.gif">_( )_

A. <img src="https://tihai-oss-cloud.itihey.com/img/8013f2201c752fe0cf69db6ae6b93cfc.gif">B. <img src="https://tihai-oss-cloud.itihey.com/img/67418f37696ecdc518ea3bb7253feb23.gif">C. <img src="https://tihai-oss-cloud.itihey.com/img/2e21a64432aeb60024445a76076de8f3.gif">D. <img src="https://tihai-oss-cloud.itihey.com/img/e47846b4f40b2e232fddcae6ef70b0ee.gif">

曲线y=lnx在点_( )_处的切线平行于直线y=2x-3

A. <img src="https://tihai-oss-cloud.itihey.com/img/b0274d35bd00b4903fb54f0855386c9f.gif">B. <img src="https://tihai-oss-cloud.itihey.com/img/e0db2584d49d9412a6db85d4fd1b7121.gif">C. <img src="https://tihai-oss-cloud.itihey.com/img/12b49b7519e7e6f708f8d1532bfefd2b.gif">D. <img src="https://tihai-oss-cloud.itihey.com/img/aa45e3bf94c068535c0a5ccb212adac0.gif">

<img src="https://tihai-oss-cloud.itihey.com/img/7d92f425a78a13cf421366ac3dd44429.webp">

A. <img src="https://tihai-oss-cloud.itihey.com/img/86364ef04e0926fc0cf0fde92eed372e.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/a5be3c4c8363f1c3228f58983ae10f50.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/f54d41c211bf8f9cfc50016194cb05a5.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/4d3136401bdafe91c65831a28f9cd200.webp">

若对于任意x,有<img src="https://tihai-oss-cloud.itihey.com/img/6e922fb59183b748e393c702c813a847.gif">,则此函数为_( )_

A. <img src="https://tihai-oss-cloud.itihey.com/img/48c544df4310cbac823e038209ca4fb6.gif">B. <img src="https://tihai-oss-cloud.itihey.com/img/da8428ce28382c5110b22def32b122fe.gif">C. <img src="https://tihai-oss-cloud.itihey.com/img/bb5d16e7cb64fa0b86dc3b5d2c5b0523.gif">D. <img src="https://tihai-oss-cloud.itihey.com/img/2826bfa2500215c708e17e68f5ec1bf5.gif">

设函数y=xlnx,则y'=

A. lnxB. lnx+xC. lnx+1D. lnx-1

求函数<img src="https://tihai-oss-cloud.itihey.com/img/b6a4583fa872a7c4fc065792dbfcecef.gif">的导数( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/faa0518ac0f6d78ed6d79a9933109b33.gif">B. <img src="https://tihai-oss-cloud.itihey.com/img/5e350f501a95375612d62ac46439cdc3.gif">C. <img src="https://tihai-oss-cloud.itihey.com/img/b3b12a87d18764c1f43e950d593a8542.gif">D. <img src="https://tihai-oss-cloud.itihey.com/img/c048801bee52fab0639ca5e81291eeb0.gif">

由方程<img src="https://tihai-oss-cloud.itihey.com/img/9f0d7ad4772a1a9874b47376a5dccab5.gif">所确定的隐函数的导数<img src="https://tihai-oss-cloud.itihey.com/img/f4da990ac2dbe2c792890e4055552e9c.gif">=( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/fedc9d911ca55f86b7d864361eeddc60.gif">B. <img src="https://tihai-oss-cloud.itihey.com/img/38c75bb18a2efc0c585b8fb71e2b2a1d.gif">C. <img src="https://tihai-oss-cloud.itihey.com/img/98287948f96be5298ba65899d105aea5.gif">D. <img src="https://tihai-oss-cloud.itihey.com/img/4446f5fdc4aee1a9539ca6d1fca25b15.gif">

曲线<img src="https://tihai-oss-cloud.itihey.com/img/b2b7b9118908bd105ff3b2605e164d12.gif">,t=<img src="https://tihai-oss-cloud.itihey.com/img/f5c57bfa863fe50bd69cc41ce6bf0073.gif">在所给参数值相应的点处的切线方程是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/65a08127a2ad84366a611b27b559b119.gif">B. <img src="https://tihai-oss-cloud.itihey.com/img/519dcac54a711d54c1279f47025d63d2.gif">C. <img src="https://tihai-oss-cloud.itihey.com/img/d911a9a997cb37b66b33ba7337dff07c.gif">D. <img src="https://tihai-oss-cloud.itihey.com/img/78daf55c1157b00876c47a1be39ee40d.gif">

已知<img src="https://tihai-oss-cloud.itihey.com/img/36a4881b010426817e2f0a6e9897c9d8.gif">则<img src="https://tihai-oss-cloud.itihey.com/img/da177ecb195f73b9a7845a882bc1dcb6.gif">=___________

A. <img src="https://tihai-oss-cloud.itihey.com/img/4ad6c2d7578347f882598a3ef53f590e.gif">B. (-1)n(n-1)!x-2nC. (-1)n-1(n-1)!x-nD. (-1)n-1n!x-n-1

函数<img src="https://tihai-oss-cloud.itihey.com/img/75d3b670039253589df4207c135a9d3a.gif">的微分是( )

A. dy=(sin2x+cos2x)dxB. dy=(sin2x- cos2x)dxC. dy=(sin2x+2x cos2x)dxD. dy=(sin2x-2x cos2x)dx

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