求下列函数的导数:(1)y=(x+1)(2x^2+3x-1);(2)y=(2x^3-3x+√x-1)/(x√x)
问题描述:
求下列函数的导数:(1)y=(x+1)(2x^2+3x-1);(2)y=(2x^3-3x+√x-1)/(x√x)
答
1)y'=2x^2+3x-1+(x+1)(4x+3)=2x^2+3x-1+4x^2+7x+3=6x^2+10x+2
2) [(6x^2-3+1/(2√(x-1))(x√x)-(2x^3-3x+√(x-1))(3/2* √x)]/x^3