Turn in the following problems: 1. Use the function f() = 4re to answer the following problems: (a) On which interval(s) is the function f(x) increasing? (b) On which interval(s) is the function f() concave upward? 2. (a) If F(x) = f(x)g(x), where f and g have derivatives of all orders, show that F" = f"g+2f'g'+fg". (b) Find similar formulas for F" and F(4). (c) Describe the pattern for higher derivatives of F