Derivative of 4*x+1/3*x-1

1. Differentiate $\left(\frac{x}{3} + 4 x\right) - 1$ term by term:

   1. Differentiate $\frac{x}{3} + 4 x$ term by term:

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

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

         So, the result is: $4$

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

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

         So, the result is: $\frac{1}{3}$

      The result is: $\frac{13}{3}$

   2. The derivative of the constant $-1$ is zero.

   The result is: $\frac{13}{3}$

The answer is:

$$\frac{13}{3}$$