2. 考研
  3. 设y=y(x)由方程ex+y+cos(xy)=sin3x+2确定，则dy/dx｜x=0=________．

设y=y(x)由方程ex+y+cos(xy)=sin3x+2确定，则dy/dx｜x=0=________．

admin2022-10-09  89
问题 设y=y(x)由方程ex+y+cos(xy)=sin3x+2确定，则dy/dx｜x=0=________．
选项
答案2
解析 当x=0时，由ex+y+cos(xy)=sin3x+2得y=0；ex+y+cos(xy)=sin3x+2两边对x求导得ex+y·(1+dy/dx)-sinxy·(y+xdy/dx)=3cos3x，代入得dy/dx｜x=0=2．
转载请注明原文地址:https://kaotiyun.com/show/iOR4777K
0

考研数学三

相关试题推荐
随机试题
最新回复(0)