求y=ln^3(5x+2)^2的导数
1个回答

y=ln^3(5x+2)^2

y'=3ln²(5x+2)² [ln(5x+2)²]'

=3ln²(5x+2)² [1/(5x+2)²][(5x+2)²]'

=[3ln²(5x+2)² /(5x+2)²][2(5x+2)](5x+2)'

=[6ln²(5x+2)² /(5x+2)]×5

=30ln²(5x+2)²/(5x+2)

=30(2ln(5x+2))² /(5x+2)

=[120ln²(5x+2)]/(5x+2)

这个就是答案了