Derivative of 50x^2-10x

1. Differentiate $50 x^{2} - 10 x$ 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: $100 x$

   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: $-10$

   The result is: $100 x - 10$

The answer is:

$$100 x - 10$$