- Find the derivatives of each of the following functions:
- $y = 3x + 5$
- $y = -5x - 12$
- $y = 3x^2 + 5 $
- $y = -4x^2 + 5x - 7$
- $y = 6x^5 + 5x^4 - 8x^3 + 7x^2 - 8x + 5$
- Suppose your profit when you sell 1000 units is \$5000, and that the derivative of your profit function is $y' = 3x$. Which of the following is most likely to be your profit when you sell 1001 units:
- \$1
- -\$1
- \$5000
- \$5003
- \$4997
- None of the above. (If you answer f, you should write the correct answer)