In this activity, you'll investigate the graphs of the derivatives of four functions. The functions are: A. (X) = e" B. f(x) = Inlxl C. f(x) = In|sec x D. f(x) = In|sec x + tan x) 10- 8- 6- 2- -10 -8 -6 4 -2 2 6 8 10 -10 -6 N CO- -2- 2- 4- -6- -6- -8- -8- -10- 10- The graphs of their derivatives are:E. 10- 10- 8- 8- 6- 4 4 2 -8 -8 -2 8 10 -10 -8 -6 -4 6 8 10 14 -4 -6 -8- 8 -10 101. Match the graphs of the derivatives to the graphs of their functions. Use what you know about the meaning of the derivative, and use key points on both graphs to be sure your answers make sense. 2. Many (all?) of the graphs of the derivatives will look familiar. Use what you know about the graphs of parent functions to complete each statement. a. b. a dx c. " In sec x| = dx d. " In /sec x + tan x| = Ox 3. Which function is its own derivative? Give an informal explanation of why this relationship makes sense