80 points) Demonstrate and Explain: Clearly and thoroughly explain your answers these questions based on the work you did with your group on labs this week. These questions refer to Labs 7A. (a) (7A, part 2) Show the graph of the function m(x) = .5(3%) and the derivative function m' (x). What is the formula for d (.5(3*) )? How can you confirm this using desmos? (b) (7A, part 1) If f(x) = b* for some b > 0, what is the formula for f'(x)? Explain using words or diagrams how you can use desmos to show that this function is actually the derivative function of f(x). (c) (extra credit) What is Euler's constant, e? Explain what is special about the deriva- tive of the function f(x) = e and how you know this.1. (80 points) Demonstrate and Explain: Clearly and thoroughly explain your answers these questions based on the work you did with your group on labs this week. These questions refer to Labs 7A. (a) (7A, part 2) Show the graph of the function m(x) = .5(3%) and the derivative function m'(x). What is the formula for @ (.5(3*) )? How can you confirm this using desmos? (b) (7A, part 1) If f(x) = b for some b > 0, what is the formula for f'(x)? Explain using words or diagrams how you can use desmos to show that this function is actually the derivative function of f(x). (c) (extra credit) What is Euler's constant, e? Explain what is special about the deriva- tive of the function f(x) = e and how you know this