On what intervals is f(x) =x' _ 4x' both decreasing and concave up? Clearly show your thinking using sign charts for f' and f" Attach Desmos graph that confirms your answer Given the function g(x) = xe a) find thc intervals where g is concave down, and b) find any points 0n the graph = of g where there is horizontal tangent line . Attach Desmos graph that confirms your answers. Given the function f(x)=x+15x*+25 ereederivatives t0 determine the critical numbers of f,and use the first derivative test to decide whether relative maximum_ relative minimum or neither occurs at each b) Find the and coordinates of the inflection points of f. Attach Desmos graph,and mark on the graph the critical points and inflection points of f. Use caleulus to find the exact global maximum and minimum values of the interval [0, '2t| . f(x) =sin" (x) - sin(x) on Attach Desmos graph that contirms your answer.