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 Lab 9: Chain and Product Rules (a) (parts 1&2) Show clearly how to derivative functions for each of the following func- tions. Indicate which rules you are using: i. m(x) = e223 ii. k(x) = 150 sin( 2" (2 360 (2 - 80) ) + 730 iii. r(x) = 2 +5x+6 22-4 iv. to) = tan x (show using the quotient rule with tan x = sinc cos x (b) (part 3) Often, we want to find the derivative of a function of the form h(x) = ,(x) for some function g(x). Let's look at this special case in two ways: i. Use the quotient rule to find h'(x). (Your answer will contain g(x) and g'(x).) ii. Rewrite the function as h(x) = (g(x) )-1. Now use the chain rule to find h'(x). iii. Compare your answers from part i. and ii. Can you show that they are the same