Math Assignment

1. Given the following function:
   y = 320 - 5x + 65 x² - 5x³
   
   
   1. What is the first derivative?
   2. At what x value is the function maximized?
   3. Using sample values for x, create a table in Excel for the function and its derivative.
   4. Draw a chart of the function and its derivative.
   
   
2. Given the following function:
   Q = 5[0.6K^-2 + 0.4L^-2] ^-1/2
   
   
   1. What is the first derivative with respect to L?
   2. At what values of K and L is the function maximized?
   3. Create an Excel table of the function.
   4. Draw a chart of the function.