若[tex=5.714x1.357]xxgvj7m4k8lDmxxZ8HemWWBxoxLVbvjNKwPYLXLW57Q=[/tex]，利用[tex=3.429x1.0]65NLrZePdBsXiiV3iEnfiA==[/tex]变换的性质求下列函数[tex=1.643x1.357]Zc3VsateyNP94/Q7WzmJgQ==[/tex]的[tex=3.429x1.0]65NLrZePdBsXiiV3iEnfiA==[/tex]变换：[tex=7.786x1.357]L+RTh0SlMSHJG2/Qe696xsbcWuEgQvx5NcOpFsmeUx0=[/tex]

2022-06-03

若[tex=5.714x1.357]xxgvj7m4k8lDmxxZ8HemWWBxoxLVbvjNKwPYLXLW57Q=[/tex]，利用[tex=3.429x1.0]65NLrZePdBsXiiV3iEnfiA==[/tex]变换的性质求下列函数[tex=1.643x1.357]Zc3VsateyNP94/Q7WzmJgQ==[/tex]的[tex=3.429x1.0]65NLrZePdBsXiiV3iEnfiA==[/tex]变换：[tex=7.786x1.357]L+RTh0SlMSHJG2/Qe696xsbcWuEgQvx5NcOpFsmeUx0=[/tex]

答案：

由相似性质，有[tex=10.071x2.357]0i9oElV/56YL8QYMefxc2agKGvgjytj2hgHfn2K3ZDG2mwsSOBUoIDDeuF1uQI8Oic+i4lzrfudzgnrqlSygoGynb5x50yvQ2F4KNpvbYEQ=[/tex]再利用线性性质及象函数的微分性质，有[tex=16.857x8.071]cv6RhMXwoOkbdcUSPQLxwPqJ6+ceYygRnxbSrA47VllllxxiyZ2ysi6T1d27xVK6fVskTkuyFC4R8vzSmtC5/hEvKp8cn0Q7PFaSbCESR/XcyUzYbPPv0A0cbI5c7Mv5GlJBNlmGlqGNL68wSeZ6QEtQXyV4zkarTqPWOBfJ3duEijg1QVsGYKj5BEVRd+MtFaXqN+bE6NosE8iTODTO8LxfxCltjB4jERAxFvaAwf0BIZVVPPdDBxZUcRqgQQKHG0n6UnsZ7ELUDlEHvboDRNd966xt6yrK3jZPA2skkEP/gIdh5jPy+dwFqs46mJHZTIPIEsfQkJk/+oTvrLRST7el/6c83zvKynOYaCGk/1pT7oyZm41qprZVc9I5jpWL6EE7ok6x/R74a3p97wtpKG2ISx3uGWxlX7KVSjvk2Txwv7MfhG7j7omJtVy9zsRbKcqtty8/ec5hmAyTLzOrfm/P63vyAVjq7yAKHlTFH3o=[/tex]

举一反三

内容

0
求下列时间函数[tex=1.643x1.357]Wfem9oxh0ZS7nZ3KGomKoQ==[/tex] 的拉氏变换[tex=1.929x1.357]CsHYmgN8a4Yt6bxTnBWLzw==[/tex].[tex=4.857x1.5]LEBgqjtc0uD467ch5lj0m+acby1R/ZP7Lp/bAklVN/0=[/tex]
1
若:(1)函数 f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]有导数,而函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数;(2)函数f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]没有导数,而函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]有导数;(3)函数f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]没有导数及函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数,则函数[tex=5.643x1.357]GmtX7Vop79exGU/rpqXUYw==[/tex]在已知点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]的可微性怎样?
2
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?
3
求下列函数的导函数：(1) [tex=5.0x2.357]X/CieCDGJ7iPQ3YFWuscHxHrcIE/dPFa9tFyiJXze8A=[/tex](2)[tex=6.643x1.714]Oj74y/L+OxY81QME5JWMcl+7PZ2FGQswwvjgVhjq1Dmb6dBU0oAjZBW7eFBVjqo6[/tex]
4
判断下列命题是否为真：（1）[tex=3.643x1.357]/5abqJjwKZ1qr+6hsVFF5EBvfq3ggOFNlHMClz0h9nk=[/tex]（2）[tex=2.929x1.357]rGJpyjIjJpbcoBTWxP0Jiw==[/tex]（3）[tex=4.5x1.357]2wycHMoqU83MyEp17iBils58bR7YLuCTI2G9NVAdlfY=[/tex]（4）[tex=5.214x1.357]CTz2gu+IIm1GgNmYMGaduCRtA41wnW4WqwRWwEhq6aA=[/tex]（5）[tex=4.857x1.357]1DcE2BMMOaZhTuxR/mjgsboXxfg5ET59Dp4I/jjEDuw=[/tex]（6）[tex=4.643x1.357]BSryrsQYOvTP2hTWRu6t4nAuJwlSs4L9jaq70EpB+Us=[/tex]（7）若[tex=6.0x1.357]y0IZLUnBO88nR8WBZYvd7QXv5S1OMINV5cQNzPyiyAc=[/tex]，则[tex=3.429x1.357]1brfPwTkVVIX4GfoMIUskA==[/tex]（8）若[tex=7.643x1.357]MhLfJXZnhbXiB0x3oNtFzThV4Y1mJxe1VYr7PkJE/T6hmTD3WWp+UxbNwvUQ6DHk[/tex]，则[tex=4.143x1.357]LZUA94ISo1po5HWsOVeBCjo0rMvj7uw3bGw5HiZenrI=[/tex]