(a) Sketch the graph of f(x) = √6 – x by starting with the graph of y = √x and using the transformations of Section 1.3.
(b) Use the graph from part (a) to sketch the graph of f’.
(c) Use the definition of a derivative to find f’(x) what are the domains of f and f’?
(d) Use a graphing device to graph f’ and compare with your sketch in part (b).