Find the derivative of y ln 3x54 4x16SolutionGiven y ln 3x5
Find the derivative of y= ln (3x+5)^4 / (4x-1)^6
Solution
Given, y= ln (3x+5)^4 / (4x-1)^6
This we do by division rule. Let f = g/h.
=>f\' = )h*g\' - g*h\')/ h2
 y\' = [[(4x-1)6/(3x+5)4]*4*3(3x+5)3 - ln(3x+5)4*6*4(4x-1)5] / (4x-1)12
=> y\' = [12(4x-1)6 *(3x+5)3/(3x+5)4 - 24ln(3x+5)4(4x-1)5] / (4x-1)12
= [12(4x-1)*(3x+5)3/(3x+5)4 - 24ln(3x+5)4] / (4x-1)7

