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Given f(x) = 2x - 3x - 36x +6. (a) Find the intervals on which fis...
Given f(x) = 2x - 3x - 36x +6. (a) Find the intervals on which fis increasing or decreasing. (b) Find the relative maxima and relative minima of f. Select one: a. (a) Increasing on (-3,2), decreasing on (-0, -3) and (2,00) (b) Rel. max. f(2)= 62 rel. min. f(-3) = -33 o b. None of these c. (a) Increasing on (-2, 3), decreasing on (-00,-2) and (3,0) (b) Rel. max. f(3) = 75, rel. min. f(-2) = -50 d....
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following functio...
Could you label and explain how to get each term?
Thank you!
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3
3. Find the equation of the tangent line to...
10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative...
10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative 11. Given the function f(x) = 2x - 3x2 - 12x + 5 Find critical points (including relative minimums/maximums, if applicable), where the function is rising and falling, where it is concave up and down, any points of inflection. Summarize below. a. f(x) = b. f'(x) = c. Inflection points (give as points) d. Local MAXs (give as points): e. Local MINs (give as...
Consider the function f(x) = 2x + 6x2 - 144x + 6. For the following questions,...
Consider the function f(x) = 2x + 6x2 - 144x + 6. For the following questions, write inf for 0, -inf for --O, U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = 6x^2+12X-144 b.) f(x) is increasing on the interval(s) c.) f(x) is decreasing on the interval(s) d.)f(x) has a local minimum at NA e.)f(x) has a local maximum at NA f.)f"(x) = 12x+12 g.)f(x) is concave up on the interval(s)...
Please answer clearly and step by step, thank you!!!! 1. Below is a function f for...
Please answer clearly and step by step, thank you!!!!
1. Below is a function f for which f' and t” have already been computed for you. f(x) = 24 – 43% + 162 ' (t) = 4(x + 1)(x - 2) 2 f "(t) = 122(x – 2) (a) Find the intervals where f is increasing/decreasing (or write "none"). Also find the L-values where a local maximum/minimum occurs (or write "none.") Increasing on: Decreasing on: Local Max(s) at 2= Local...
URGENT 2) Find the x coordinates of all relative extreme points of f(x)÷4÷3 1 4.2.3.3,2+4 2+4...
URGENT
2) Find the x coordinates of all relative extreme points of f(x)÷4÷3 1 4.2.3.3,2+4 2+4 2) A) x--3,1 B)x=0 C)x=-3, 0, 1 D) x-1, 0.3 E) x-1.3 3) Find the x coordinates of all relative extreme points of fo) 4-33-6x2-1 ints of f(x)- 4- 3-6x2-1 3) A) x2, 0,3 B)x 0 C)x=-2.3 D) x--3,2 E) x--3,0,2 4) Find the relative minimum point(s) of fx)x35x2-10. 4) A) (0, f(o)) B) (-2, f(-2)) and (5, f(5)) C) (-2, f(-2)) and (0,...
2. f(x) = x? – 3x² +5. a) (5 pts) Find the (x, y) coordinates of...
2. f(x) = x? – 3x² +5. a) (5 pts) Find the (x, y) coordinates of the critical points. b) (5 pts) Find the (x, y) coordinates of the point of inflection (point of diminishing return) c) (5 pts) Over what interval is the function increasing/decreasing and over what interval is the function concave up/concave down? Analytically test for concavity. d) (5 pts) Use the 2nd derivative test to determine (x, y) coordinates of the relative max/min.
14. Suppose that f(x) is continuous on (60,-) Given the graph y = f'(x) below, find...
14. Suppose that f(x) is continuous on (60,-) Given the graph y = f'(x) below, find the following: y = f'(x) In (None may be an answer): Find the number lines of f'&f" 1. relative maximumat x= 2. relative minimum at x= 3. The graph of y=f(x) has points of inflection at x= -&x= (Enter a number from smallest to largest x-value.)
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b)...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and...
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and • f"(x) = 6(x - 3)(x - 2) (a) Use f' to find the intervals where f is increasing, the intervals where f is decreasing, the x- coordinates and nature (max, min or neither) of any local extreme values. (b) Use f" to find the intervals where the graph of f is concave up, the intervals where the graph of f is concave down...
Given f(x) = 2x - 3x - 36x +6. (a) Find the intervals on which fis increasing or decreasing. (b) Find the relative maxima and relative minima of f. Select one: a. (a) Increasing on (-3,2), decreasing on (-0, -3) and (2,00) (b) Rel. max. f(2)= 62 rel. min. f(-3) = -33 o b. None of these c. (a) Increasing on (-2, 3), decreasing on (-00,-2) and (3,0) (b) Rel. max. f(3) = 75, rel. min. f(-2) = -50 d....
Could you label and explain how to get each term?
Thank you!
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3
3. Find the equation of the tangent line to...
10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative 11. Given the function f(x) = 2x - 3x2 - 12x + 5 Find critical points (including relative minimums/maximums, if applicable), where the function is rising and falling, where it is concave up and down, any points of inflection. Summarize below. a. f(x) = b. f'(x) = c. Inflection points (give as points) d. Local MAXs (give as points): e. Local MINs (give as...
Consider the function f(x) = 2x + 6x2 - 144x + 6. For the following questions, write inf for 0, -inf for --O, U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = 6x^2+12X-144 b.) f(x) is increasing on the interval(s) c.) f(x) is decreasing on the interval(s) d.)f(x) has a local minimum at NA e.)f(x) has a local maximum at NA f.)f"(x) = 12x+12 g.)f(x) is concave up on the interval(s)...
Please answer clearly and step by step, thank you!!!!
1. Below is a function f for which f' and t” have already been computed for you. f(x) = 24 – 43% + 162 ' (t) = 4(x + 1)(x - 2) 2 f "(t) = 122(x – 2) (a) Find the intervals where f is increasing/decreasing (or write "none"). Also find the L-values where a local maximum/minimum occurs (or write "none.") Increasing on: Decreasing on: Local Max(s) at 2= Local...
URGENT
2) Find the x coordinates of all relative extreme points of f(x)÷4÷3 1 4.2.3.3,2+4 2+4 2) A) x--3,1 B)x=0 C)x=-3, 0, 1 D) x-1, 0.3 E) x-1.3 3) Find the x coordinates of all relative extreme points of fo) 4-33-6x2-1 ints of f(x)- 4- 3-6x2-1 3) A) x2, 0,3 B)x 0 C)x=-2.3 D) x--3,2 E) x--3,0,2 4) Find the relative minimum point(s) of fx)x35x2-10. 4) A) (0, f(o)) B) (-2, f(-2)) and (5, f(5)) C) (-2, f(-2)) and (0,...
2. f(x) = x? – 3x² +5. a) (5 pts) Find the (x, y) coordinates of the critical points. b) (5 pts) Find the (x, y) coordinates of the point of inflection (point of diminishing return) c) (5 pts) Over what interval is the function increasing/decreasing and over what interval is the function concave up/concave down? Analytically test for concavity. d) (5 pts) Use the 2nd derivative test to determine (x, y) coordinates of the relative max/min.
14. Suppose that f(x) is continuous on (60,-) Given the graph y = f'(x) below, find the following: y = f'(x) In (None may be an answer): Find the number lines of f'&f" 1. relative maximumat x= 2. relative minimum at x= 3. The graph of y=f(x) has points of inflection at x= -&x= (Enter a number from smallest to largest x-value.)
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
6. For a certain function f(x) we have: f'(x) = (x - 3)²(2x - 3) and • f"(x) = 6(x - 3)(x - 2) (a) Use f' to find the intervals where f is increasing, the intervals where f is decreasing, the x- coordinates and nature (max, min or neither) of any local extreme values. (b) Use f" to find the intervals where the graph of f is concave up, the intervals where the graph of f is concave down...
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