设y=f(x-y)其中f可导且f'≠1则dy/dx=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/27 04:57:27
设y=f(x-y)其中f可导且f''≠1则dy/dx=?设y=f(x-y)其中f可导且f''≠1则dy/dx=?设y=f(x-y)其中f可导且f''≠1则dy/dx=?y=f(x-y)dy/dx=f''(x-

设y=f(x-y)其中f可导且f'≠1则dy/dx=?
设y=f(x-y)其中f可导且f'≠1则dy/dx=?

设y=f(x-y)其中f可导且f'≠1则dy/dx=?
y=f(x-y)
dy/dx=f'(x-y)*d(x-y)
=f'(x-y)*(1-dy/dx)
=f'(x-y)-f'(x-y)*dy/dx
[1+f'(x-y)]dy/dx=f'(x-y)
dy/dx=f'(x-y)/[1+f'(x-y)]