can you please help me solve these questions!

48% X . . . 9:05 PM Tue Nov 2 Untitled (Draft) ~ Q n Untitled (Draft) X 1.1+Introduction+to+Limits X Lecture+Notes+-+Chem+4311-+Fall+2021 12. Find f'(0) for the function f(x) = tan (4x) - cot-1(2x). 17. Find the interval on which the function f(x) = -2In(x2) is increasing. [A] O [B] 8 4 [D] 2 [E] 6 [A] (-00, 0) [B] (-00,00) [C] (-00, 1) [D] (0, 00) [E] (1,0) MATH 1426 Exam #2 - Version A Fall 2021 18. Find all x-values of the inflection points for the function f (x) = = x4 -=x3 + 13x. 13. The volume of a cube is increasing at a rate of 8 inches per second. How fast is the cube's surface area increasing at the precise moment when the length of each side is 2 inches? Note: Volume of a cube is V = x3 and Surface Area is As = 6x2. [A] x = 0,1 [B] x = 0,7 [C] x = 0,5,1 [D] x = 0,1,2 x = 1,2 [A] 16 inches2/second [B] 12 inches2 /second [C] 10 inches2/second [D] 20 inches2/second [E] 18 inches2 /second 19. Consider the graphs of f' and f" shown below. Identify all of the statements (I,II,III, IV) that are true. Note: The graph of f is not pictured. 14. Find the critical point(s) of f (x) = =, if they exist. [A] 0,1 [B] O 1 [D] -1,1 f has no critical points 11. The graph of f is decreasing on the interval (1, 3 ). III. The graph of f has an inflection point at x = 2. 15. Find the absolute maximum value and absolute minimum value of the function IV. The graph of f is concave down on the interval (2,4). = y-2 on the interval [3, 10]. AJ II and IV only [B] I and Ill only [C] , II and Ill only [D) III and IV only I and IV only [A] Absolute maximum value is 8. Absolute minimum value is 0. 20. Use the information from the table below to select a possible graph of y = f(x). [B] Absolute maximum value is 9. Absolute minimum value is 8. C] Absolute maximum value is 9. Absolute minimum value is 4. Derivatives * 0, y" 0 y' = 0 ,y" > 0 1x > 2 y' > 0 ,y " > 0 16. Given the graph of the function y = f(x) below, which of the following statement(s) (1, II, III, IV) are true? Note: The graph of f has a horizontal tangent at point t. [B] [C] A . f has a local minimum at x = s. II. f has a local maximum at x = b. III. f has neither a local maximum nor a local minimum at x = t. IV. f has a local maximum at x = p. [D) [E) [A] I and IV only [B] II, III and IV only [C] II and III only [D] I, III and IV only [E] I and II only