判断下列函数的单调性:[tex=4.643x1.214]5bpGe3BhLABwlcrzk/E9og==[/tex]
解:定义域是[tex=3.5x1.357]5kk1tgLprHhXMqT+ef3ksg==[/tex],任取[tex=6.5x1.357]IjSrbYLTVxKxuID2DVOoswDyTbNhbHbrw+il8OOj70k=[/tex], 不妨设[tex=3.214x1.071]wIdxs4LvfRD7DzpWjXoH3Q==[/tex], 则[tex=29.286x1.357]bMSoO+Agkg4uMmMNuEKRC8wTj0qwZcw38HzSb653yfiqc7y5B26brMqkJCcQYeAIE4TJU/CVQOi0YkkupmQ5mEjiZ2B4wwhiAw4/yNNQBYpbOkP6u6Qm2qJIt4vrmg0ICv/5WW+JIAPoFRR0n4g+yQQOZXYlSlvfPxCYGadaLHxWTnb3si4iy5Dk4vAwExLR53h9lz/f+ivr5+IAdmKtlg==[/tex],所以[tex=4.643x1.214]5bpGe3BhLABwlcrzk/E9og==[/tex]是[tex=3.5x1.357]5kk1tgLprHhXMqT+ef3ksg==[/tex]上的单调增加函数.
举一反三
- 判断下列函数的单调性:[tex=3.143x1.429]DtEJq+xKqG7B5uYNtnlDkQ==[/tex]
- 求下列函数的导函数:[tex=4.643x1.214]KMMEVmXyzkFtqUfUCD5z9WYfseFsU0KqQvQEzWpro98=[/tex]
- 判断函数 [tex=2.714x1.357]gYXRgL5sMucPbgypiGOn7w==[/tex] 的单调性.
- 求下列各函数的反函数的导数[tex=4.643x1.214]SFQb6j6olHpLaiPg7kuMHQ==[/tex]
- 判断下列命题是否正确:若函数[tex=1.857x1.357]bZ4KhrFbnCaidqbMGQZfww==[/tex]单调递减,则恒有[tex=4.071x1.429]b+92QgRbOOnD+w8x5M9YxUhOvH3DJr/4nSQbdlWRDeg=[/tex].
内容
- 0
求函数[tex=3.143x1.357]59ZI4l4ekNIWR3PEeYxuLA==[/tex]的微分:[tex=4.643x1.214]EAc+/erSVf8mAOYAVu0GNg==[/tex]
- 1
确定下列函数的单调区间:[tex=4.786x1.214]yZX5iRi175S98jNqhawucg==[/tex]
- 2
求下列函数的单调区间:[tex=6.286x1.357]jcywCRlar8d1CVlL6HR1TA==[/tex]
- 3
求下列函数的单调区间:[tex=8.214x1.286]kKshZydQbPwyMd9AEZMrrnhXuSeJDwWv64FazhOwuL0=[/tex];
- 4
求下列函数的单调区间:[tex=3.571x1.214]eLdZ8QNQpmSF5ffWfGeNNQ==[/tex].