三函数相乘的复合函数求导

F(x)*G(x)*T(x) 的导数求法
2025-06-24 05:42:38
推荐回答(2个)
回答1:

先把前两个当成整体,然后按乘法的求导法则做两次就可以了

回答2:

=[F(x)]'*[G(x)*T(x)]+[F(x)]*[G(x)*T(x)]'
=[F(x)]'*[G(x)*T(x)]+[F(x)]*{[G(x)]'*T(x)]+[G(x)]*[T(x)]'}
=[F(x)]'*G(x)*T(x)+F(x)*[G(x)]'*T(x)+F(x)*G(x)*T(x)]'