1} The graph of the first derivative of f(x) is shown below. Use the graph to find the following: a) intervals of increasing for f (x) b) intervals of decreasing for f (x) c} local max for f(x) d) local min for f(x) e} intervals of concave up for f(x) f) intervals of concave down for f (x) 2) Given that glx) = lnx -(:c2 + Tax4) , find the critical numbers for g(x). You must show all work. 3} Given that x2 2)c3+2y2 +4y 10 : 6, find the following. You must show all work. d a) dy using implicit differentiation x b) the coordinates where any horizontal tangents occur