Find an antiderivative of the function f(x) = 2x® (3x? +4)? What is a possible antiderivative...
Find the most general antiderivative of f(x) =(1/3x) − 2sec^2(x/2)−e^−2x+3 SHOW ALL WORK
Find all the critical numbers of the function. f(x) = 2x2 + 3x? - 36x + 10 O A. -2 OB. 6 O C. -3,2 OD. 3, -2
2x f(x) = ex+ f'(x) = (3x + 2) ex+3 B f'(x) = (x2 + 2x) e*+2x-1 С f'(x) = ex®+2x f'(x) = €3x+2
Find the domain of the function 4 f(x) = X-7 3 x+5 What is the domain off? O A. (-0,7)U(7,00) OB. (-00,00) OC. (-00,-5)U{ - 5,7)U17.00) OD. (-00,0)(0.00)
- 2x Find the values of x at which the function f(x)=e + 2x has a relative maximum or minimum point. O A. minimum at x = 0 OB 0.69 maximum at x = 2 O C. There are no relative maximum/minimum points. OD maximum at x- O E. none of these Click to select your answer
7. Given f(x)=_x - 2x x--3x-4 a. Why does f define a function? b. Find Dom fand Range f. c. Graph y = f(x) in detail. Include intercepts, symmetry, and asymptotes, including limit behavior for the asymptotes. d. Find the point where the graph crosses the horizontal asymptote.
Find an antiderivative for each function. Check your answers by differentiation. = (iv) 1-8csc 2x (v) 3 sec 3x tan 3x (0)
This Question: 1 pt 2 of 25 (1 complete) Find the particular antiderivative of the following derivative that satisfies the given condition. C'(x) = 3x² - 4x; C(O) = 1,000 C(x)= This Question: 1 pt 13 of 25 (1 complete) This T The critical values of f(x) = 4x® - 48x + 24 are x=-2 and x = 2. Use the first derivative test to determine which of the critical values correspond to a local minimum O A. X=2 OB....
The DERIVATIVE f'(x) of a function f(x) is given by f'(x) = x²(x - 3). Find the intervals on which the function f(x) is DECREASING OA (-2,0) and (3,00) OB. (-0,0) and (0,3) Oc (0,3) OD. (-0,0) OE (3,0)
Find all values x = a where the function is discontinuous. 3x - 5 if x < 0 f(x) = x2 + 5x -5 if x 20 O A. a = 0 OB. Nowhere O c. a = 5 OD. a = -5