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1) 2) 4 3 2+ 1 -5 14 -3 -2 -1 2 3 -1 -2 -3...
1)
2)
4 3 2+ 1 -5 14 -3 -2 -1 2 3 -1 -2 -3 -4 -5+ The graph above and below) is the DERIVATIVE graph of a function f f is defined on the domain (-5,5) A. On what interval(s) is the function f increasing? use ( , ) and U to combine more than one interval B. On what interval(s) is the function f decreasing? use ( , ) and U to combine more than one interval...
1. Fill the table with +, -, or DNE (does not exist) for the function f(x)...
1. Fill the table with +, -, or DNE (does not exist) for the function f(x) in the figure. (a) (1 point for each cell) f'(x) f(x) 3 hom 5 7 (b) (4 pts) Mark the critical point on the graph of f(x). How many critical points do you see? 2. (12pts) For y = 2x.ex (a) Find the first derivative and the critical number(s). (b) Intervals for increasing or decreasing (c) Find local minimum or maximum, if any. MacBook...
please explain how to do step 5 in matlab commands. med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >...
please explain how
to do step 5 in matlab commands.
med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >> plot (x,y), grid 9*x."2; + A plot over the interval I-3,3] reveals an apparent "flat section"' with no visible relati extrema. To produce a plot that reveals the true structure of the graph, we replot over the interval [-1,2]: >> x=linspace (-1,2); >> y= 4 * x. ^4-12*x.^3...
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the functio...
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (iii) Use the second derivative to examine the...
Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sk...
Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a function f satisfying the following properties: .f is continuous, . lim f(z) 0, .f"(x) S0 on (-oo, -3). e lim f(z)oo, .()>0 on (0,2) .f'(2) 0, and f(r) dz 1, )t-1 for> 3 -3
Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a...
This is my question: 4. (a) A function f has first derivative f' (a) and second derivative a2 (x +3) 3 It is also k...
This is my question:
4. (a) A function f has first derivative f' (a) and second derivative a2 (x +3) 3 It is also known that the function f has r-intercept at (-3,0), f"(z) and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine 3 marks (ii) Use the f'(x), and the First Derivative Test to classify each critical point. [3 marks (iii) Use the second derivative to...
-1 -4 Problem 2. (1 point) Remaining time: 59:05 (min:sec) The graph below shows the derivative...
-1 -4 Problem 2. (1 point) Remaining time: 59:05 (min:sec) The graph below shows the derivative of the function f(x) on the interval x E-4,0]. You can click on the graph to see larger version. a) Given the single f(x) value already shown in the table, complete the entries for the rest of the table. x 4 3 2 0 f(x)-4 b) On your written sheet, use the values you found in part (a) to sketch the graph of the...
-1 -4 Problem 2. (1 point) Remaining time: 59:05 (min:sec) The graph below shows the derivative...
-1 -4 Problem 2. (1 point) Remaining time: 59:05 (min:sec) The graph below shows the derivative of the function f(x) on the interval x E-4,0]. You can click on the graph to see larger version. a) Given the single f(x) value already shown in the table, complete the entries for the rest of the table. x 4 3 2 0 f(x)-4 b) On your written sheet, use the values you found in part (a) to sketch the graph of the...
Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find ...
Need some explanation on these please and thank you so
much!
Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find (l) (5). b) -3 d) 3 e) 9-7 4 g none of the above The graph of f"(a) (the second derivative of f) is shown below. Where is fCx) concave up? -4-3-223 4 6 a) (-0o,-6) u (5,7) -3, 6) D(-6,5) U (7,00) g)none of these.
Suppose f(x) is an invertible differentiable...
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5)...
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
1)
2)
4 3 2+ 1 -5 14 -3 -2 -1 2 3 -1 -2 -3 -4 -5+ The graph above and below) is the DERIVATIVE graph of a function f f is defined on the domain (-5,5) A. On what interval(s) is the function f increasing? use ( , ) and U to combine more than one interval B. On what interval(s) is the function f decreasing? use ( , ) and U to combine more than one interval...
1. Fill the table with +, -, or DNE (does not exist) for the function f(x) in the figure. (a) (1 point for each cell) f'(x) f(x) 3 hom 5 7 (b) (4 pts) Mark the critical point on the graph of f(x). How many critical points do you see? 2. (12pts) For y = 2x.ex (a) Find the first derivative and the critical number(s). (b) Intervals for increasing or decreasing (c) Find local minimum or maximum, if any. MacBook...
please explain how
to do step 5 in matlab commands.
med at x=c. 2 The first derivative Ne Scr We investigate the function f(x) 4 12x3+9x2. >> x-linspace (-3,3) >> y-41x.^4-12*x.^3 >> plot (x,y), grid 9*x."2; + A plot over the interval I-3,3] reveals an apparent "flat section"' with no visible relati extrema. To produce a plot that reveals the true structure of the graph, we replot over the interval [-1,2]: >> x=linspace (-1,2); >> y= 4 * x. ^4-12*x.^3...
4. (a) A function f has first derivative f'(x) and second derivative 2 f" (x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. 3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (iii) Use the second derivative to examine the...
Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a function f satisfying the following properties: .f is continuous, . lim f(z) 0, .f"(x) S0 on (-oo, -3). e lim f(z)oo, .()>0 on (0,2) .f'(2) 0, and f(r) dz 1, )t-1 for> 3 -3
Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a...
This is my question:
4. (a) A function f has first derivative f' (a) and second derivative a2 (x +3) 3 It is also known that the function f has r-intercept at (-3,0), f"(z) and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine 3 marks (ii) Use the f'(x), and the First Derivative Test to classify each critical point. [3 marks (iii) Use the second derivative to...
-1 -4 Problem 2. (1 point) Remaining time: 59:05 (min:sec) The graph below shows the derivative of the function f(x) on the interval x E-4,0]. You can click on the graph to see larger version. a) Given the single f(x) value already shown in the table, complete the entries for the rest of the table. x 4 3 2 0 f(x)-4 b) On your written sheet, use the values you found in part (a) to sketch the graph of the...
-1 -4 Problem 2. (1 point) Remaining time: 59:05 (min:sec) The graph below shows the derivative of the function f(x) on the interval x E-4,0]. You can click on the graph to see larger version. a) Given the single f(x) value already shown in the table, complete the entries for the rest of the table. x 4 3 2 0 f(x)-4 b) On your written sheet, use the values you found in part (a) to sketch the graph of the...
Need some explanation on these please and thank you so
much!
Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find (l) (5). b) -3 d) 3 e) 9-7 4 g none of the above The graph of f"(a) (the second derivative of f) is shown below. Where is fCx) concave up? -4-3-223 4 6 a) (-0o,-6) u (5,7) -3, 6) D(-6,5) U (7,00) g)none of these.
Suppose f(x) is an invertible differentiable...
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
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