求下列函数的导函数：[tex=11.857x1.571]FOmPoIfp3HaFnOj4LjyzzMpeTgRqQ03iZRNMeLs0wNGWW8vU6QjWSMdScP7u3vCC[/tex]

设[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]为[tex=0.643x0.786]SBMIs+VUk7//BOpfqlQl0w==[/tex]级可逆矩阵，[tex=8.357x1.5]qulE2au0sCsC2RUF6/a3J/PLix1ST2rOlUDUPEpOW7U9IRWOEBVoHk/VC7RhBytshADMLDgUk81oTZW6OnQp6xDqFnichnf+r+8UZpX4YS0=[/tex].证明：[tex=11.857x1.571]Hdyzm08IgLwNv/uw9bIYBIhaiB3b4P62mdco22hBoyB5EUPkCF280MVGLb9h7YqcIiVTcjBqkhNvpsqBcs1WVnTazbpIWjZcv7d0OY/MfqB2Q7mksUoPv8PZj/8Jeg2XJ6uuUmK0q+MrLL1BGSuJjw==[/tex].

已知配合物的磁矩，根据价键理论指出下列配离子中心离子的杂化轨道类型和配离子的空间构型。[tex=11.857x1.571]o5zop3aRylgLa2kf2ooHK8SYoFCyCMs/a+DKxUFja1M48Dvcz63sck1EsviUbtgNDwSjY0FXPExUKlt/wMxznVUn6WAwzQnRR1vPsBb1d8Y=[/tex]

已知配合物的磁矩，根据价键理论指出下列配离子中心离子的杂化轨道类型和配离子的空间构型。[tex=11.857x1.571]cnNVJtdMiFuBlIqUikxtkc7IVXdrEKCGRXmHHieiwSSGC/JK8mFbyD1NlNI/hI/a1N/LpZOVprucEqyhIrYyYQ==[/tex]

下列方程中有一个是一阶微分方程,它是[input=type:blank,size:4][/input] 未知类型：{'options': ['[tex=7.143x1.571]CLt77XwtfG1GNl2QEAFS3luIFJ0TVDmLU8jJ+qHFNo8rXR6JntuTmk033dwpl/LLUoKlN17Vf6WMgTZ9KSB7tw==[/tex]', '[tex=10.571x1.571]JR4yrHJRIZfJXwhFSObwrfajFnWUvXzM/YiA3M6aDKuVBZ8I+7v5iXTXdA3E6Rm4vOE2BCfPwFP2rmRygXKEUDk1qLsNDCJ2p8GEbfCSr2s=[/tex]', '[tex=11.857x1.571]YzGc47P+T6iNccnQWTZWb9DAz1kuSzdTrLfwk/ENQOurvBhWuJHLbqHzSSm1xvRQSlUgW9OUw6CC7ZSgh/qnex+zgLexSDPQcFBzr7AkLDI=[/tex]', '[tex=5.5x1.357]m0sKckxx+jZ9iltApBtB23TBISIOx/g0judcsS+akNFZrUNCq3g+BIVQwGbQEh/C[/tex]'], 'type': 102}

理想模拟相乘器的增益系数[tex=5.143x1.429]hY72r0xOUxB0GOE9rcUQtJT3T4vyoBRg4Tc4XtnVulE5c+5yVQXGmBME7Wf/K2x4[/tex], 若 [tex=2.5x1.0]eFfzii1XM9PsP9/hGhTPokvN7ewhuLR+EbmfhfuqFvDlsK2R3PITE1c8pZbyVHfx[/tex] 分别输入下列各信号, 试写出输出电压表示 式并说明输出电压的特点。[tex=11.857x1.571]4QvLOyBtUuwnAFA8dNtrCCDGwJqsDRDZDpWJliScBte3Me4VHgB9RLB+dtrIyhAyuZusHRz0Ge88gpY9C3+AEueLUe+TqhBBWZM/vF7kOh1VFSpnLDxlUILQiW9qPBYD[/tex];

下列变量组（）是一个闭回路。 A: {x，x，x，x，x，x} B: {x，x，x，x，x} C: {x，x，x，x，x，x} D: {x，x，x，x，x，x}

以下谓词蕴含式正确的是（）: (∀x) (A(x)→B(x))=>( ∀x)A(x)→(∀x)B(x)|(∀x) (A(x)↔B(x))=>( ∀x)A(x)↔(∀x)B(x)|(∀x)A(x)∨(∀x)B(x)=>( ∀x) (A(x)∨B(x))|(∃x) (A(x)∧B(x))=>(∃x)A(x)∧(∃x)B(x)

以下谓词蕴含式正确的是（）: (?x) (A(x)→B(x))=>( ?x)A(x)→(?x)B(x)|(?x) (A(x)?B(x))=>( ?x)A(x)?(?x)B(x)|(?x)A(x)∨(?x)B(x)=>( ?x) (A(x)∨B(x))|(?x) (A(x)∧B(x))=>(?x)A(x)∧(?x)B(x)

下列式中错误的是： A: (∀x)(A(x)Úp(x)) Û (∀x)A(x)Ú (∀x)p(x) B: ($x)A(x) Ù p Û ($x)(A(x) Ù p ) C: (∀x)(A(x)ÚB(x)) Þ (∀x)A(x)Ú( ∀x)B(x) D: ($x)(A(x)ÙB(x)) Þ ($x)A(x)Ù( $x)B(x)