plz help

1. (20 points) Define f() = . (a) Use the definition of the derivative to verify that f'(I) = - (b) Use the quotient rule to determine f"(I). (c) Determine the intervals on which f is increasing and decreasing. Explain using calculus! (d) Explain, using caclulus, on which intervals f is concave up and concave down. (e) Does f have any global extrema? Explain why or why not.2. (20 points) Princess Ricki and her friends are curious as to how some of their favorite things at the playground work. They decided to study how springs work and came across the following problem. Can you help them? (a) State the name and corresponding formula for the following derivative rule: ( f(x)g (1)) = ? (b) Compute (e COSI) . (c) Determine the global extrema of the function f(x) = e cos(x) on the interval [0, 4). To receive full credit you must supply full details