First, notice that the function is the quotient between two expressions. Then, first we need to use the quotient rule to find the derivative:

In this case, g(x) = 3x+2 and h(x) = x^3. Then:

Now, notice that the derivatives of 3x+2 and x^3 appear in the numerator. Use the power rule to find the derivative of those expressions:

Then:

So, the differentiation continues:

Finally, simplify the expression:

Therefore, we used both the power rule and the quotient rule to find the derivative, and the derivative is:
