Question

Hallar la derivada de la función

㏑ (3x+1 ÷ 2x)

Answer 1

So,

Use the Chain Rule: f(g(x)) --> f'(g(x))g'(x)

But first, rewrite the function using log properties.

`ln((3x+1)/(2x))=ln(3x+1)-ln(2x)`

Now, apply the Chain Rule.

`(dy)/(dx)=(3)/(3x+1)-(2)/(2x)=(3)/(3x+1)-(1)/(x)`