[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$f2E4HnsHB9kuz9oqosK1Ygii8PbiG7U3ltOGqTSlAdlY":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":16,"related":17,"source":27,"type":28},[],"2025-12-19 05:56:42",273357271,[8,9,10,11],"nx","(n-1)x","nx\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3efcaa6323f3beac187d5fa495219574.png\">","nx\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F31261d5686fcfdffbec5d7b0ac2c644f.png\">",{"courseId":13,"courseImg":14,"courseName":15},"53e1d2ef4961cca8eea3e23969ad2cb9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F03a579384a6dc297c89809b582fcc767.png","默认课程","x\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe40397c98ec333358f33e50b3c1e1a1b.png\">的导数为",[18,29,34,43,46,55,63,72,80,86],{"answer":19,"createTime":5,"id":20,"options":21,"question":26,"source":27,"type":28},[],273357268,[22,23,24,25],"sinα","cosα","sinα+cosα","2sinα","若f(x)=sinα-cosx,则f′(α)等于","v1",0,{"answer":30,"createTime":5,"id":31,"options":32,"question":33,"source":27,"type":28},[],273357269,[22,23,24,25],"若f(x)=sin(x)-cos(x),则f′(α)等于",{"answer":35,"createTime":5,"id":36,"options":37,"question":42,"source":27,"type":28},[],273357270,[38,39,40,41],"M","0","Mx","M-1","函数y=M(M为常数)的导数为",{"answer":44,"createTime":5,"id":6,"options":45,"question":16,"source":27,"type":28},[],[8,9,10,11],{"answer":47,"createTime":5,"id":48,"options":49,"question":54,"source":27,"type":28},[],273357272,[50,51,52,53],"f'(x) = a\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd8adf9293d2d2165da26c3f76f734d48.png\"> ln(a)","f'(x) = e\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd8adf9293d2d2165da26c3f76f734d48.png\"> ln(a)","f'(x) = a\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd8adf9293d2d2165da26c3f76f734d48.png\"> lg(e)","f'(x) = e\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd8adf9293d2d2165da26c3f76f734d48.png\"> lg(a)","函数 f(x) = a^x,其中 a 为正实数且 a ≠ 1,它的导数为 ( )",{"answer":56,"createTime":5,"id":57,"options":58,"question":62,"source":27,"type":28},[],273357273,[59,60,61,8],"e\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc89f3d2257d0ee4437484956d7f6e6b0.png\">","1\u002Fx","1\u002Fe","函数 f(x) = ln(x),其中 x > 0,它的导数为 ( )",{"answer":64,"createTime":5,"id":65,"options":66,"question":71,"source":27,"type":28},[],273357274,[67,68,69,70],"- sin(x)","-cos(x)","sin(x)","cos(x)","f(x) = sin(x) 的导数为 f'(x) =( )",{"answer":73,"createTime":5,"id":74,"options":75,"question":79,"source":27,"type":28},[],273357275,[59,76,77,78],"(e\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc89f3d2257d0ee4437484956d7f6e6b0.png\">) \u002Fx","(e\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc89f3d2257d0ee4437484956d7f6e6b0.png\">) *ln(x)","(e\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc89f3d2257d0ee4437484956d7f6e6b0.png\">) *lg(x)","函数f(x)=e^x的导数f'(x)=( )",{"answer":81,"createTime":5,"id":82,"options":83,"question":85,"source":27,"type":28},[],273357276,[70,69,84,68],"-sin(x)","f(x) = cos(x) 的导数为 f'(x) =( )",{"answer":87,"createTime":5,"id":88,"options":89,"question":93,"source":27,"type":28},[],273357277,[90,91,92,39],"1\u002F2","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F94d54ea67cd3179725d312054d115a27.png\">\u002F2","- \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F94d54ea67cd3179725d312054d115a27.png\">\u002F2","求导数sin'(60)=( )"]