设z=u的v次方,而u、v均为x的函数,求dz⼀dx

2024-12-23 07:03:33
推荐回答(1个)
回答1:

[㏑f(x)]'=[v(x)·㏑u(x)]'
f'(x)/f(x)=v'(x)·㏑u(x)+v(x)u'(x)/u(x)
y'/y=v'(x)·㏑u(x)+v(x)u'(x)/u(x)
y'=y[v'(x)·㏑u(x)+v(x)u'(x)/u(x)]
=u(x)^v(x)[v'(x)·㏑u(x)+v(x)·u'(x)/u(x)]