设函数 [tex=2.786x1.357]g1Wo3ALRzTk0js5m9GO2sA==[/tex]满足恒等式[tex=10.714x1.5]tybLZYAJ5RzKkQLib6uqQvobeE942GhM6pLpG4KdTKc=[/tex], 则[tex=4.071x1.357]wv7dtiqAMpwq3KU42Pxfvw==[/tex]的微分[tex=1.786x1.0]clGiXrE0gtl2rOqd/ILOuw==[/tex] .
举一反三
- 设二元函数[tex=4.071x1.357]wv7dtiqAMpwq3KU42Pxfvw==[/tex]满足[tex=4.643x1.571]VLJ8fKwQgl8lcIrZ8DuFUA1Rtg+UqgXtd1CPSEAqjklDjD2l+W4GSfWe40Is+xZh[/tex]，[tex=4.714x1.5]49UFtdxdDKQlKWZMhTPj6shR0eIPbkJH+t/oKWAtDPo=[/tex]，[tex=3.857x1.357]BMa57oBdoLQIZV6TWJh7yQ==[/tex]，求[tex=2.786x1.357]g1Wo3ALRzTk0js5m9GO2sA==[/tex].
- 设函数[tex=4.0x1.357]AcsG/g4yU933TGrJs0qkCQ==[/tex] 由方程[tex=5.571x1.429]JJv5scxg0au6oHml/H+IPT3lL7sVIOky7iqgQkefB04=[/tex] 所确定，则 [tex=1.786x1.0]clGiXrE0gtl2rOqd/ILOuw==[/tex] .
- 设[tex=10.714x1.5]tybLZYAJ5RzKkQLib6uqQiUMBw+bqf13JQ1LKvqcCGE=[/tex], 求[tex=2.786x1.357]g1Wo3ALRzTk0js5m9GO2sA==[/tex].
- 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?
- 下列函数是哪些函数复合而成的？（1）[tex=4.214x1.286]6PuLCl/TwscTl61WSePGog==[/tex]；（2）[tex=5.214x1.286]+mZ2Cm2OprRKGTGg0iqmyZx+4lZ796PxrSQNx30R9UU=[/tex]；（3）[tex=4.214x1.357]jTbrMH55vzOFOJlLSnfh103OHFmRhIjXZGzPnfweOX0=[/tex]；（4）[tex=6.071x1.286]W2A0mViHY0pK74wEByr6ED5K+AKV/pxHaeQdYGQBxwc=[/tex]；（5）[tex=6.714x1.429]8up/G1s+GteD9ejcGkFVmYl3TTtTik5kuwrPDCv0JkbGIWyY33cnaw7XtBiPcSnh[/tex]；（6）[tex=5.714x1.286]APaFs2rWyubdkzLcUVVxVJSSAsLEOtXn4KjnToE2BQA=[/tex]；