Derivative of y=30x-0,02x^3

1. Differentiate $- \frac{x^{3}}{50} + 30 x$ 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: $30$

   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: $- \frac{3 x^{2}}{50}$

   The result is: $30 - \frac{3 x^{2}}{50}$

The answer is:

$$30 - \frac{3 x^{2}}{50}$$