y=(2x+1)^3(3-4x)^5的导数

要过程
2025-02-24 00:25:56
推荐回答(1个)
回答1:

y‘=[(2x+1)^3]'*(3-4x)^5+(2x+1)^3*[(3-4x)^5]'
=3(2x+1)^2*(2x+1)'*(3-4x)^5+(2x+1)^3*5(3-4x)^4*(3-4x)'
=3(2x+1)^2*2*(3-4x)^5+(2x+1)^3*5(3-4x)^4*(-4)
=6(2x+1)^2*(3-4x)^5-20(2x+1)^3*(3-4x)^4
=-(2x+1)^2*(3-4x)^4(64x-2)