Derivative of 2x^3+3x^3

1. Differentiate $2 x^{3} + 3 x^{3}$ 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: $x^{3}$ goes to $3 x^{2}$

      So, the result is: $6 x^{2}$

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

      1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$

      So, the result is: $9 x^{2}$

   The result is: $15 x^{2}$

The answer is:

$$15 x^{2}$$