求下列函数的导数y=(x^m+nx^n+n√x/)xn≠0

Question

求下列函数的导数 y=(x^m+nx^n+n√x/)x n≠0

Answer 1

错了分数线位置吧!
y=(x^m+nx^n+n√x)/x
y=x^(m-1)+nx^(n-1)+nx^(-1/2)
y'=(m-1)x^(m-2)+ n(n-1)x^(n-2)-1/2nx^(-3/2)