如何通过对数微分找到y =(5x-2)^ 3(6x + 1)^ 2的导数?

如何通过对数微分找到y =(5x-2)^ 3(6x + 1)^ 2的导数?
Anonim

回答:

#y'=(5x-2)^ 3(6x + 1)^ 2##((15)/(5×-2)+(12)/(6×+ 1))#

说明:

1 / ln(y)= #3ln(5x-2)+ 2ln(6x + 1)#

2/ #(1)/(y)y'# = #(3)((1)/(5x-2))(5)+(2)((1)/(6x + 1))(6)#

3/ #(1)/(y)y'# = #(15)/(5x-2)+(12)/(6x + 1)#

4 / y'= y#((15)/(5x-2)+(12)/(6x + 1))#

5 / y'= #(5X-2)^ 3(6×+ 1)^ 2##((15)/(5x-2)+(12)/(6x + 1))#