Hello Aspirant,

The differentiation of ln(x) is 1/x. So differentiation the above query and applying chain rule we get.

=3/(3x+1)

Hey,

Differentiating the given equation in the question can be done as follows:

d/dx[ln( 3x+1)]

1/3x+1.d/dx[3x+1]

=3.d/dx[x]+d/dx[1]/(3x+1)

=3.1+0/3x+1

Therefore, 3/(3x+1) is the required answer.

I hope this helps.

All the best.