hi PLZ help ( no need for a long explanation ) answer steps would e fine to be understandable

1. (25 points) Define f(x) = VI. (a) Use the definition of the derivative to verify that f' (I) = 1 2VI (b) Use the quotient rule to determine f"(r). (c) Determine the intervals on which f is increasing and decreasing. Explain using calculus! (d) Explain, using calculus, on which intervals f is concave up and concave down. (e) Does f have any global extrema? Explain why or why not.2. (25 points) Rudolph and the rest of Santa's Reindeer are working hard on the funda- mentals of calculus so that they can help design a better sled for Santa. Help them out and solve the following problem. (a) State the name and corresponding formula for the following derivative rule: da (f(g(x))) = ? (b) Compute do [arctan(1 - z?) ] . (c) Determine any global extrema of the function f(z) = arctan(1 - 12). To receive full credit you must supply full details