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11. Maple Question] Consider the function f(r, y)-e. Use Maple to do the following. (a) Find the ...
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function...
(a) A function / has first derivative f'(z) = and second derivative 3) 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 ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...
4. (a) A function f has first derivative f (r) - and second derivative f"(z) It is also known that the function f h...
4. (a) A function f has first derivative f (r) - and second derivative f"(z) 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 (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (iii) Use the second derivative to examine the concavity around critical...
4. (a) A function f has first derivative f') and second derivative It is also known that the function f has r-i...
4. (a) A function f has first derivative f') and second derivative It is also known that the function f has r-intercept at (-3,0) and a y-intercept at (0,0) 0) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points that are...
)and second derivative 4. (a) A function f has first derivative f'(x) f(E) It is also known that the function f has...
)and second derivative 4. (a) A function f has first derivative f'(x) f(E) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, Q) (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] (ii) Use the second derivative to examine the concavity...
4. (a) A function f has first derivative f'(r) and second derivative It is also known that the function f has r-int...
4. (a) A function f has first derivative f'(r) and second derivative 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 (İİ) Úse the f,(x), and the First Derivative Test to classify each critical point. [3 marks] Iİİ) Úse the second derivative to examine the concavity...
please solve all parts. For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its...
please solve all parts.
For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its critical point(s) if exists. Express your answer as coordinate pairs with parentheses and commas. Separate your answers with commas and list in ascending order of x if the function has more than one critical point. Use **DNE" if the function has no critical point. Answer: (b) Use the D-Test to classify at each critical point whether the function has a relative maximum or minimum,...
f(x, y) = In(1+7x2 + 5y2 )
Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = In(1+7x2 + 5y2 )(x, y) = _______ Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value _______ relative maximum value _______
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...
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...
Find the critical point of the function. Then use the second derivative test to classify the...
Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = x2 − 4xy + 2y2 + 4x + 8y + 8 critical point (x, y)= classification ---Select--- :relative maximum, relative minimum ,saddle point, inconclusive ,no critical points Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value= relative...
(a) A function / has first derivative f'(z) = and second derivative 3) 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 ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...
4. (a) A function f has first derivative f (r) - and second derivative f"(z) 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 (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (iii) Use the second derivative to examine the concavity around critical...
4. (a) A function f has first derivative f') and second derivative It is also known that the function f has r-intercept at (-3,0) and a y-intercept at (0,0) 0) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative. (ii) Use the f'(x), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points that are...
)and second derivative 4. (a) A function f has first derivative f'(x) f(E) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, Q) (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] (ii) Use the second derivative to examine the concavity...
4. (a) A function f has first derivative f'(r) and second derivative 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 (İİ) Úse the f,(x), and the First Derivative Test to classify each critical point. [3 marks] Iİİ) Úse the second derivative to examine the concavity...
please solve all parts.
For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its critical point(s) if exists. Express your answer as coordinate pairs with parentheses and commas. Separate your answers with commas and list in ascending order of x if the function has more than one critical point. Use **DNE" if the function has no critical point. Answer: (b) Use the D-Test to classify at each critical point whether the function has a relative maximum or minimum,...
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...
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...
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