2. Let f (x) = sinxcosx defined on [0,2x]. (a) (4pts) Find all intervals where f is increasing and decreasing. (b) (3pts) Apply the first derivative test to find all local extrema. (c)(3pts) Apply the second derivative test to find all local extrema. (d)(4pts) Find all intervals of concavity. (e)(3pts) Find the values of x where we have inflection points