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• ### The graph of the first derivative f'(x) of function f(2), 1€ (-5,5) is shown below. Then...

The graph of the first derivative f'(x) of function f(2), 1€ (-5,5) is shown below. Then f(x) has a local minimum at (-1,1) - 2+ (0,0) (4,0) (-2,0) 2 - 2 (2,-2) Graph of f'(x) Select one: O a. None of these. O b. x = -2,0,4 only. C. 2 = 2 only. d. 2= -2,4 only. e. 2 = 0 only. Oo oo Consider a function f(x), a € (-0,00) whose first derivative is f'(2) = 1 +(22 –...

• ### (1 point) Use the contour diagram for f(x, y) shown below to estimate the directional derivative...

(1 point) Use the contour diagram for f(x, y) shown below to estimate the directional derivative off in the direction v at the point P. (a) At the point P = (2, 2) in the direction ✓ = 7, the directional derivative is approximately O‘ot 16.0 18.0 12.0 14.0 2.0 (b) At the point P = (3, 2) in the direction ✓ = -1, the directional derivative is approximately 8.0 (c) At the point P = (4,1) in the direction...

• ### The graph of y = f'(x), the derivative of a function f. 600,00) is given below:...

The graph of y = f'(x), the derivative of a function f. 600,00) is given below: y= f'() Which of the following must be true? of is decreasing on (2, 4) and concave down on (-3,3). of is increasing on (-2, 2) and concave down on (0,4). f is increasing on (-3,0) and concave down on (0,4). fis decreasing on (0,4) and concave down on (-2,2).

• ### 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative...

3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl) 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...

• ### (1 point) Below is the graph of the derivative f'(x) of a function defined on the...

(1 point) Below is the graph of the derivative f'(x) of a function defined on the Interval (0,8). You can click on the graph to see a larger version in a separate window. n (A) For what values of x in (0,8) is f(x) increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can...

• ### question - 4 plzzzzzzzzzzz draw the graph !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1. Find the derivative of each of the...

question - 4 plzzzzzzzzzzz draw the graph !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1. Find the derivative of each of the following unctions: (e) w- 4u/2 (f) w=4u1/4 12 (c) y7x (b) y 63 2, Find the following: 0 (b) -9x1/3 (-oub du 3. Find f(1) and f(2) from the following functions: (C) f(x)--5x-2 (d) f(x)- ^*4/3 (a) y- f(x) -18x 4. Graph a function f(x) that gives rise to the derivative function f'(x) 0. Then graph a function 9(x) characterized by g(xo)0

• ### 4. Look at the graph below of the derivative f' (a). From this, make a sketch...

4. Look at the graph below of the derivative f' (a). From this, make a sketch of the original function f(x) and of the second derivative f" (2x), and explain your reasoning. (7 marks) A

• ### 4. To the right is the graph of the derivative f'(x) (You do not see the...

4. To the right is the graph of the derivative f'(x) (You do not see the graph of f(x)) Use the information to decide: what x values are critical points for the unseen f (x) and characterize each as corresponding to a relative maximum, minimum, or neither for f(x) ol This is the graph of derivative f'(x)

• ### Given the graph of y=f(x) below, find the value f(1) Given the graph of y =...

Given the graph of y=f(x) below, find the value f(1) Given the graph of y = f(x) below, find the value f(1). Сл N 111 -6 -5 -4 -3 -2 -1 2 3 4 5 6 2. 1 1 w -41 - -5 1

• ### answer all questions !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1. Find the derivative of each of the following unctions: (e) w-...

answer all questions !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1. Find the derivative of each of the following unctions: (e) w- 4u/2 (f) w=4u1/4 12 (c) y7x (b) y 63 2, Find the following: 0 (b) -9x1/3 (-oub du 3. Find f(1) and f(2) from the following functions: (C) f(x)--5x-2 (d) f(x)- ^*4/3 (a) y- f(x) -18x 4. Graph a function f(x) that gives rise to the derivative function f'(x) 0. Then graph a function 9(x) characterized by g(xo)0