Question 1 > 0/1 pt -6 -4 -3 -2 -7 The above is the graph of the derivative f "(x). How many critical points does the original function f(x) have?. Question 2 The function f(x) = 2x - 33x* + 60x - 7 has two critical numbers. The smaller one is x = and the larger one is x =.QuestionB v EMF-1:03 3998 Given the function g{.'c] = 523 + 543:2 + QUE, find the first derivative, 91:3}. 913} = Notice that g'[.'c) = '3 when m = 5, that is, g'{ 5] = U. Now, we want to know whether there is a local minimum or local maximum at :c = 5, so we will use the second derivative test. Find the second derivative, 5:" '[z]. m = : Evaluate g' '[ 5]. we: Based on the sign of this number, does this mean the graph of g{:) is concave up or concave down at z = 5? [Answer either up or down -- watch 1vour spelling!\" At .T = 5 the graph of 9LT) is concave Based on the concavity:r of 9(3) at a: = 5, does this mean that there is a local minimum or local maximum at :c = 5? [Answer either minimum or maximum - watch your spelling!!] Question 4 10/1 pt 0 3 2 The function f(x) = -2x + 33x- - 60x + 2 has one local minimum and one local maximum. This function has a local minimum at r = with value and a local maximum at > = with valueQuestion 6 0/1 pt The function f(x) = 2x - 45x' + 300r + 4 has one local minimum and one local maximum. This function has a local minimum at T = with function value and a local maximum at r = with function value. Question 7