allowed time frame. Question 11 4 pts Find the derivative of the function. x3 f(x) =...
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of a function f(x) which has the following characteristics: (2) 1, f(5) 5, lim f(), i f)1, m끊f(x)-1, and limo f(x) = 4. 3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of...
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
Find the ABSOLUTE MAXIMUM value of the function f(x) = – x3 + 3x2 - 4 on the closed interval [ – 2,1]. 1A - 4 B. o C-1 D. -2 E 16
QueBLIUI JI JPLS Find the requested value of the second derivative of the function. f(x) = 7x2 + 9x - 3; Find f"(0). 14 00 -14 Question 32 5 pts Find the indicated absolute extren um as well as all values of x where it occurs on the specified domain f(x) = * x3 - 2x² + 3x - 4; (-2, 5] Minimum 0 -4 at x = 0 at x = -2 atx = 2 Question 33 5 pts...
14. x Find the derivative of the function using the definition f(x) = x + 3 15. The equation of motion of a particle is s = p - 27t, where s is in meters and t is in seconds. (Assume 10.) (a) Find the velocity and acceleration as functions of t. (b) Find the acceleration after 4 s. (c) (c) Find the acceleration when the velocity is 0. 16. Find the points on the curve y = 2x3 +...
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 3 4 pts Find the second derivative of the following function: x3-6x2+1 (a)3x+12 (b)3x-12 (c)6x-12 (d)6x+12 (e) 0 (a) (b) O (c) O (d) (e)
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 17 4 pts Compute the derivative of the function: y = 3x2 + In(a) + 8 Oy' = 6x + e y' = 6x +1 O' = 6x + In(1) y' = 6x + 1 + 8
[6 points] Suppose that f'(x) = 3x2 + 2x + 7 and f(1) = 11. Find the function f(x). Of(x) = x3 + x2 + 7x + 11 Of(x) = x3 + x2 + 7x + 2 Of(x) = 6x + 5 Of(x) = x3 + x2 + 9 10. V MY NOTES [6 points] Find the integral: 15x3/2 + 21n|x[ + c 10 x3/2 + 2\n\xl + C O 5x1/2 - + c şx-1/2 - + c