For each of the functions below: (i) Determine where the function is increasing and where it is decreasing (use the Increasing/Decreasing Test). (ii) Identify any local extrema (use the First Derivative Test). (ii) Determine where the graph is concave up and where it is concave down (use the Concavity Test). a) f(x) =34 - 4x3 b) f(x) = 13 - 3x2 - 24r +1 c) f (t) = 8t + +1/3 d) f(0) = sine - cos 0 If f'(x) = 3(r+3)(x - 1)*(x + 1)'(x +6)3, what values of r make f(x) a local minimum? A local maximum