Question 6 14.3 pts Let h be a function such that h'(x) = 2x3 + 3x2...
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0, and f" (6) = 0. Which statement must be true about the graph of f? (6,7) is a local minimum point (6,7) is a local maximum point (6,7) is a global maximum point There's not enough information to tell. (6,7) is a point of inflection (6,7) is a global minimum point Question 5 14.3 pts Let f be a twice differentiable function. y С...
Let h be a function such that h' (2) = 2.03 + 3.02 – 12.c. For what values of does the graph of h have a point of inflection? 2 2 00 1 ) 1
Question 17 5 pts Suppose f(x) = [Vť – 5t + 6.25 dt. For which positive value of x, does f'(x) equal O? 0 O 2.5 There is no such value of x. V2.5 O 1 Question 16 5 pts Use the Fundamental Theorem of Calculus to find the derivative, f'(x), of va t2 f(x) = S. dt. 4+ 3t4 1 x2 4 + 3x4 х 4 + 3x2 a 4 + 3x2 2 (4 + 3x2) -C 2+(4+ 3x2)...
Question 19 3 pts 5 1 0 Details Find all the values of x where the graph of f(a) 2x3 – 30x2 + 542 – 6 has a horizontal tangent line. The smaller one is x = and the larger one is x = Question 20 3 pts 5 1 0 Details Consider the function f(x) = 3x2 – 8x + 1, 0 < x < 8. The absolute maximum of f(x) (on the given interval) is at X =...
The DERIVATIVE F"(x) of a function f(x) is given by X f'(x)= 1 + x + 2x3 What is the x-coordinate of the inflection point of the graph of f(x)? O A. X = 0.393 OB. X= -1.607 O c. X=0 OD. The graph off has no inflection point. O E. X = 0.807
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
QUESTION 10.1 POINT Let h(x) = f(g(2). If f(x) = –3x2 - 4x +2 and g(x) = -1° + 3x + 2, what is h'(-1)? Do not include "W'(-1) ="in your answer. For example, if you found 1(-1)=20. you would enter 20. Provide your answer below:
allowed time frame. Question 11 4 pts Find the derivative of the function. x3 f(x) = In X X3 O 3x2 x3-2 O 3x2-1 x(x3 - 2) O 2x3 + 2 x(x3 - 2)
Question 13 (1 point) How many critical numbers does the function f(x) = 2x - 3x2 + 4 have? 3 2 0 Question 14 (1 point) The vertical asymptotes of X are f(x) = O x=2 and x = 1 Oy= 0 and x = 2 x = 2 and x = -2 x= 0 and x = 2
Consider the following. f(x) = 1 4 x4 + 1 2 x3 − 3x2 + 4 Find f '(x). f '(x) = x3+ 3x2 2−6x Find f ''(x). f ''(x) = 3x2+3x−6 Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) x = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using...