Derivative of 2*x-1/3*x+1

1. Differentiate $\left(- \frac{x}{3} + 2 x\right) + 1$ term by term:

   1. Differentiate $- \frac{x}{3} + 2 x$ 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: $2$

      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: $\frac{5}{3}$

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

   The result is: $\frac{5}{3}$

The answer is: