Derivative of log5*((x+3)/2)

1. The derivative of a constant times a function is the constant times the derivative of the function.

   1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Differentiate $x + 3$ term by term:

         1. Apply the power rule: $x$ goes to $1$

         2. The derivative of the constant $3$ is zero.

         The result is: $1$

      So, the result is: $\frac{1}{2}$

   So, the result is: $\frac{\log{\left(5 \right)}}{2}$

The answer is:

$$\frac{\log{\left(5 \right)}}{2}$$