1. Find the derivatives of each of the following functions:

1. $y = 3x + 5$
2. $y = -5x - 12$
3. $y = 3x^2 + 5 $
4. $y = -4x^2 + 5x - 7$
5. $y = 6x^5 + 5x^4 - 8x^3 + 7x^2 - 8x + 5$

2. Suppose your profit when you sell 1000 units is \$5000, and that the derivative of ...

more ...