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for f(x) = * - 1. Find and label the following (if they exist) for f(x...
2. Let f(t) = 2+1 (a) Find the intervals over which f is increasing and decreasing....
2. Let f(t) = 2+1 (a) Find the intervals over which f is increasing and decreasing. (b) Find the local maximums and minimums of f. (c) Find the intervals of concavity of f. (d) Find the inflection points of f.
Consider the function: f(x) = ln(cos x) Do the following: • Find the domain of the...
Consider the function: f(x) = ln(cos x) Do the following: • Find the domain of the function • Find all critical points • Find all extrema and classify each as a local maximum, local minimum, or a saddle • Find all intervals of increase and decrease • Find all intervals of concavity and find any inflection points • Sketch a graph of the function with the information you found above
For the function f(x) = -**-4x find the following, and use it to graph the function....
For the function f(x) = -**-4x find the following, and use it to graph the function. Find: a) (2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e) 4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve
1. Solve the following a. Sketch the graph of f (x) = 3x4 – x3 showing...
1. Solve the following a. Sketch the graph of f (x) = 3x4 – x3 showing all the following key features i. Relative maximums and minimums ii. Intervals of increase and decrease iii. Points of inflection b. A business owner estimates that if x units of a particular commodity are produced, the total cost will be C(x) dollars where C(x) = 2x3 – 18x2 + 350x. At what level of production will the average cost A(x) = CVPbe minimized?
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...
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....
(1) For the function f(x) = −x , identify the intervals of increase/decrease and concave up/down....
(1) For the function f(x) = −x , identify the intervals of increase/decrease and concave up/down.x2 − 1 Sketch a graph of the function in accordance with these conditions. Your sketch should also include • the following points: the x and y intercepts, local maximums, local minimums, and inflections, • and all asymptotes (both horizontal and vertical). If the function does not have a property listed above, then clearly state that the function does not satisfy the requested property. (2)...
2. The positions of a point (in meters) is given as a function of time t...
2. The positions of a point (in meters) is given as a function of time t (in seconds) 3 1 $(1) - zit = 1 a. Find the acceleration of the function using calculus. b. Find the acceleration at t=1 and state the meaning. 3. Given f(x)=x-12x on (-2,00). a. Using calculus, find all extrema and label as relative or absolute maximums/minimums. b. Using calculus, determine the intervals of concavity and inflection points.
2. Consider the function f(x) = sinx 2+cos a) What is the domain of the function?...
2. Consider the function f(x) = sinx 2+cos a) What is the domain of the function? b) Use the first derivative to locate the intervals of increase or decrease as w e the intervals of increase or decrease as well as any local your analysis to the intervalo Sxs 21. Indicate the exact coordinates of the al extrema and clearly specify whether the point is a local max or local min. use the second derivative to determine intervals of concavity...
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...
2. Let f(t) = 2+1 (a) Find the intervals over which f is increasing and decreasing. (b) Find the local maximums and minimums of f. (c) Find the intervals of concavity of f. (d) Find the inflection points of f.
Consider the function: f(x) = ln(cos x) Do the following: • Find the domain of the function • Find all critical points • Find all extrema and classify each as a local maximum, local minimum, or a saddle • Find all intervals of increase and decrease • Find all intervals of concavity and find any inflection points • Sketch a graph of the function with the information you found above
For the function f(x) = -**-4x find the following, and use it to graph the function. Find: a) (2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e) 4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve
1. Solve the following a. Sketch the graph of f (x) = 3x4 – x3 showing all the following key features i. Relative maximums and minimums ii. Intervals of increase and decrease iii. Points of inflection b. A business owner estimates that if x units of a particular commodity are produced, the total cost will be C(x) dollars where C(x) = 2x3 – 18x2 + 350x. At what level of production will the average cost A(x) = CVPbe minimized?
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...
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....
2. The positions of a point (in meters) is given as a function of time t (in seconds) 3 1 $(1) - zit = 1 a. Find the acceleration of the function using calculus. b. Find the acceleration at t=1 and state the meaning. 3. Given f(x)=x-12x on (-2,00). a. Using calculus, find all extrema and label as relative or absolute maximums/minimums. b. Using calculus, determine the intervals of concavity and inflection points.
2. Consider the function f(x) = sinx 2+cos a) What is the domain of the function? b) Use the first derivative to locate the intervals of increase or decrease as w e the intervals of increase or decrease as well as any local your analysis to the intervalo Sxs 21. Indicate the exact coordinates of the al extrema and clearly specify whether the point is a local max or local min. use the second derivative to determine intervals of concavity...
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...
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