Derivative of f(x)=5x³-4x²-3x+2

1. Differentiate $5 x^{3} - 4 x^{2} - 3 x + 2$ 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: $15 x^{2}$

   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: $x^{2}$ goes to $2 x$

         So, the result is: $8 x$

      So, the result is: $- 8 x$

   3. 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: $-3$

   4. The derivative of the constant $2$ is zero.

   The result is: $15 x^{2} - 8 x - 3$

The answer is:

$$15 x^{2} - 8 x - 3$$