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4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Interval...
show detailed work in each problem For the following exercises, find the local and/or absolute maxima...
show detailed work in each problem
For the following exercises, find the local and/or absolute maxima for the functions over the specified domain. 128. y = 4 sin - 3 cose over [0, 21) For the following exercises, show there is no c such that f(1)-f(-1) = f'(c)(2). Explain why the Mean Value Theorem does not apply over the interval [-1, 1). 168. f For the following exercises, determine a. intervals where f is increasing or decreasing, b. local minima...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down, and d. the inflection points off 226. f(x)= x4 - 6x3 228. f(x)= x + x2-r3 5- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down,...
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find...
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first...
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
Each letter is a different part of the same question. Therefore, please fill in all of...
Each letter is a different part of the same question. Therefore,
please fill in all of the individual blanks. Thanks in advance
Suppose that f(x) = x4 + 12x3. (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals where f(x) is defined. Domain: (B) Find all intercepts. If there are no intercepts, enter None. If there are more than one, enter them separated by...
19-20-21 19. [5pts.Each] Find the derivative of the functions: sin x a. y = b. g(x)=e*...
19-20-21
19. [5pts.Each] Find the derivative of the functions: sin x a. y = b. g(x)=e* cosh(x²) 20. [5pts.] ALSO Q3 f(x)= x - cos x, 0<x< 277. Find the intervals of increasing & decreasing and intervals of concave up & concave down. Do not graph but find all relative/local maximum & minimum and inflection points if any. 21. [5pts.] Find the dimension of the rectangle of the largest area that can be inscribed in a circle of radius r....
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down,...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down, locate inflection pts. Use this information to sketch the graph. (20 pts) 4x2 + 12x – f'(x) = Critical Values are: F"(x) = Possible Inflection points are: First derivative information Interval Sample point f' = + or - Show inc/dec 2nd derivative information Interval Sample point f" x f" = + or - Concavity:
Math 151, Spring 2019 Workshop9 0, 1,23,4 Problem 1 derivative of fe)a e)e--3t-0 (a) The derivati...
Math 151, Spring 2019 Workshop9 0, 1,23,4 Problem 1 derivative of fe)a e)e--3t-0 (a) The derivative of f(x) is f,(z) = x5(z-1)(z-2)2(z-3)3 (z-6)6 clitical poins List all critical points of f. Determine the intervals where f is increasing and decreasing and identify each critical point as a local maximum, local minimum, or neither. (b) The second derivative of g(x) is g"(x) (z 1)2/(z -2)3/5(r-3)4/7. Determine the intervals where g is concave up and concave down and list all inflection points...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I ...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
show detailed work in each problem
For the following exercises, find the local and/or absolute maxima for the functions over the specified domain. 128. y = 4 sin - 3 cose over [0, 21) For the following exercises, show there is no c such that f(1)-f(-1) = f'(c)(2). Explain why the Mean Value Theorem does not apply over the interval [-1, 1). 168. f For the following exercises, determine a. intervals where f is increasing or decreasing, b. local minima...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down, and d. the inflection points off 226. f(x)= x4 - 6x3 228. f(x)= x + x2-r3 5- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down,...
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
Each letter is a different part of the same question. Therefore,
please fill in all of the individual blanks. Thanks in advance
Suppose that f(x) = x4 + 12x3. (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals where f(x) is defined. Domain: (B) Find all intercepts. If there are no intercepts, enter None. If there are more than one, enter them separated by...
19-20-21
19. [5pts.Each] Find the derivative of the functions: sin x a. y = b. g(x)=e* cosh(x²) 20. [5pts.] ALSO Q3 f(x)= x - cos x, 0<x< 277. Find the intervals of increasing & decreasing and intervals of concave up & concave down. Do not graph but find all relative/local maximum & minimum and inflection points if any. 21. [5pts.] Find the dimension of the rectangle of the largest area that can be inscribed in a circle of radius r....
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down, locate inflection pts. Use this information to sketch the graph. (20 pts) 4x2 + 12x – f'(x) = Critical Values are: F"(x) = Possible Inflection points are: First derivative information Interval Sample point f' = + or - Show inc/dec 2nd derivative information Interval Sample point f" x f" = + or - Concavity:
Math 151, Spring 2019 Workshop9 0, 1,23,4 Problem 1 derivative of fe)a e)e--3t-0 (a) The derivative of f(x) is f,(z) = x5(z-1)(z-2)2(z-3)3 (z-6)6 clitical poins List all critical points of f. Determine the intervals where f is increasing and decreasing and identify each critical point as a local maximum, local minimum, or neither. (b) The second derivative of g(x) is g"(x) (z 1)2/(z -2)3/5(r-3)4/7. Determine the intervals where g is concave up and concave down and list all inflection points...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
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