Question

How do you differentiate `y =4x ln(3x + 2)` using the chain rule?

Answer 1

`ln(x+2) +x/(x+2)`

Explanation:

It is not the chain rule, but the product rule which would apply here first. Accordingly,

`dy/dx=d/dx (x) ln (3x+2) + x d/dx ln (x+2)`... application of product rule.

=`ln(x+2) +x/(x+2) d/dx (x+2)`.... application of chain rule.

= `ln(x+2) +x/(x+2)`