Derivative of y=x⁴-3x

1. Differentiate $x^{4} - 3 x$ term by term:

   1. Apply the power rule: $x^{4}$ goes to $4 x^{3}$

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

      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: $3$

      So, the result is: $-3$

   The result is: $4 x^{3} - 3$

The answer is:

$$4 x^{3} - 3$$