The graph of the following function has one relative maximum point and one relative minimum point. Find these points using the rst derivative test. f(x)= -x3 +3x2+1 Find the rst derivative 0 the function. l'(x) = 3x2 + 6x The relative minimum is (Type an ordered pair.) The graph of the following function has one relative maximum and one relative minimum point. Find these points using the first-derivative test. f(x) = x3 + 9x2 + 5 Find the rst derivative of the function. f'(x)= 3x2 +18x The relative maximum is (Type an ordered pair.) The graph of the function has one relative extreme point. Plot this point and check the concavity there Using only this information, sketch the graph. f(x) = 3x2 6 4- The relative extreme point on the graph is (0, 6) . (Type an ordered pair.) Since the value of f\" at the relative extreme point is , the graph is E at this point. concave down concave up changing concavity The graph of the function has one relative maximum and one relative minimum point. Plot these two points and check the concavity there. Using only this information, sketch the graph. f(x) = x3 27x The relative minimum point on the graph is (Type an ordered pair.) Sketch the following curve, indicating all relative extreme points and inection points. y=x33x+5. Find the rst derivative of y. y'= 3x23 The relative extreme points are . (Type an ordered pair. Use a comma to separate answers as needed.) Sketch the following curve, indicating all relative extreme points and inection points. y=63x2)(3 The relative extreme points are (Type an ordered pair. Use a comma to separate answers as needed.) Sketch the following curve, indicating all relative extreme points and inection points. y=2x3+3x2-6 The relative extreme points are (Type an ordered pair. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)