USA2 Investigation Investigating the Sum and Difference Rule Complete the worksheet to investigate the power rule for finding derivatives. When you are finished, submit your investigation to your teacher. 1. Launch Desmos and Microsoft Excel. 2. Using both applications (similar to work that you completed in Unit 4), graph the function f(x) = 8x3 - 5x3 + 7x. 5. Determine the slope of the tangent line and various points along the x-axis. Place the values in the table below. 6. Repeat the above steps for the functions. Place the values in the table below. x - value Slope of f(x) = 8x3 - 5x] + 7x g(x) = 3x3 - 1 h(t) = 4+3 + 5t? + 2 y = 7x* - 2x +3 0 7. Enter the values of x and the corresponding slope values for each of the functions into Microsoft Excel. Perform a regression to find the curve of best fit. Use your knowledge to hypothesize the "type" of equation that would best approximate this new function for the derivative (ie. use the Power Rule).3. Complete the table to compare the original function with its derivative. Regression Equaon Inerisrativel 9. What do you notice about the functions and the equations that represent their derivatives? Forrnulate a hypothesis of the sum and difference rule for derivatives