Hello I need some help with these 3 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. Using Desmos, graph the function of y = ex. State the characteristics of this function and include an screenshot of the function. Use the information from the discussion posts (above) if necessary in order to help understand this function. What is the value of the slope of the tangent at x = 1 for this curve. Other characteristics of this function can include domain and range, asymptotes and root(s), end-point behaviour and intervals of increasing/decreasing. 2. Using the graph of the function y = ex; a. Use Desmos to complete the following table to find the slopes of the tangent to this curve. Slope of Tangent -2 - 1 0 1 2 A W b. Using the Excel/Desmos method of generating the equation for these points, sketch the graph of the derivative and find the equation for the deriavtive function. State the derivative of y = ex. Attach in your Excel/Desmos file. 3. Given the following functions, state the derivative. a) f(x) = 5ex b) f(x) = 10ex c) f(x) =-4ex + 7x3 - 5x6