Hello I need some help with these questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

1. Launch Desmos and Microsoft Excel. 2. Using both applications (similar to work that you completed in Unit 4), graph the function f(x) = 811' 5x2 + 7x. 5. Determine the slope of the tangent line and various points along the xaxis. Place the values in the table below. 6. Repeat the above steps for the lllCtiOl'lS. Place the values in the table below. 7. Enter the values of x and the corresponding slope values for each of the unctions into Microsoft Excel. Perform a regression to nd the curve of best t. Use your knowledge to hypothesize the \"type\" of equation that would best approximate this new function for the derivative (ie. use the Power Rule). 8. Complete the table to compare the original function with its derivative. Regression Equation f'[x) = g'[x)= [1,\") = y' = (Derivative) 9. What do you notice about the functions and the equations that represent their derivatives? Formulate a hypothesis of the sum and difference rule for derivatives