To find the derivative of (3x + 1)/2, we can use the power rule for differentiation. The power rule states that if we have a function of the form f(x) = ax^n, then the derivative of f(x) is given by f'(x) = nax^(n-1).
Applying this rule to our function, (3x + 1)/2, we can rewrite it as (3/2)x + 1/2. Now, the derivative of (3/2)x is (3/2), and the derivative of 1/2 is 0. Therefore, the derivative of (3x + 1)/2 is simply (3/2).
So, the derivative of (3x + 1)/2 is 3/2.
