設(shè)函數(shù)u=g(x)在點(diǎn)x處可導(dǎo),函數(shù)y=f(u)在點(diǎn)u處可導(dǎo),則復(fù)合函數(shù)y=f[g(x)]在點(diǎn)x處可導(dǎo),且其導(dǎo)數(shù)為證明略.復(fù)合函數(shù)的求導(dǎo)法則可以推廣到有限個(gè)函數(shù)復(fù)合的情形.若y=f(u),u=g(v),v=h(x)都在相應(yīng)點(diǎn)可導(dǎo),則復(fù)合函數(shù)y=f[g(h(x))]在點(diǎn)x處可導(dǎo),且例2-11 設(shè) (共 347 字) [閱讀本文] >>