with detailed solution reference on comment section

4. Let {(x) = cosx - x. /V (a) Determine the absolute extrema of the function f on the interval - ' . (3 points) (b) Find function g given that the graph of g passes through t (0. d the tangent line at any point (x. y) on the graph of g ha slope x). (2 points) 5 F(x = S-tzdt Evaluate the following. (a) F' (9) (2 Point!) (b) F01). by interpretingr F (R (1 point)