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

Find the derivative of y= ln (3x+5)^4 / (4x-1)^6SolutionGiven, y= ln (3x+5)^4 / (4x-1)^6 This we do by division rule. Let f = g/h. =>f\' = )h*g\' - g*h\')/ h

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