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(1 point) Find the critical point and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to the critical point. Let f(x) = 5 Jr2 +7 ls f a maximum or minumum at the critical point? Local maximum v The interval on the left of the critical point is (INEINF) . On this interval,f is decreasing v whilef' is positive v . The interval on the right of the critical point is (05/7) . On this interval,f is decreasing v whilef' is negative v . (1 point) If the figure below is the graph of the derivative f ' , answer the followin . Where do the points of inflection of f occur? On which interva|(s) is f concave down? Note: You can earn partial creditor: this problem. Preview My Answers Submit Answers (1 point) Let f and g be the functions defined by f(t) = 41:2 and g(t) = t3 + 6t. Determine f ' (t) and g' (t). f ' (t) = g' (t) = Let p(t) = 4t2(t3 + 61') and observe that p(t) = f(t) - g(t). Rewrite the formula for p by distributing the 41'2 term. Then, compute p' (t) using the sum and constant multiple rules. #0) = True or False: p' (t) = f ' (t) - g' (t) True v (1 point) Find the critical points, A and B, of the following polynomial (with A