Derivative of y=sqrt(3)(6x^2+5x)

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

   1. Differentiate $6 x^{2} + 5 x$ 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: $x^{2}$ goes to $2 x$

         So, the result is: $12 x$

      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: $5$

      The result is: $12 x + 5$

   So, the result is: $\sqrt{3} \cdot \left(12 x + 5\right)$

The answer is:

$$\sqrt{3} \cdot \left(12 x + 5\right)$$