3√x 的导数是多少?过程?

2025-04-08 20:37:57
推荐回答(2个)
回答(1):

可以用 (u·v)=u'v+uv'
f(x)=(3)'*x^(1/2)+3*[x^(1/2)]'
=0+3*[(1/2)x^(-1/2)]
=3/2*x^(1/2)
=3√x /2x

就是这样

回答(2):

f(x)=3√x=3*x^(1/2)
f'(x)=3*[x^(1/2)]'=3*[(1/2)x^(-1/2)] = 3/2*1/√x