Derivative of 8sqrt(3)x-sqr(x)sqrt(3)

1. Differentiate $- x \left(\sqrt{3}\right)^{2} + 8 \sqrt{3} x$ 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: $8 \sqrt{3}$

   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: $-3$

   The result is: $-3 + 8 \sqrt{3}$

The answer is:

$$-3 + 8 \sqrt{3}$$