Question

Consider the function f(x)=ln(x2 +4)[6+6+8=16 marks] Note: f'(x) = 2x divided by (x2 +4) f''(x )...

Consider the function f(x)=ln(x2 +4)[6+6+8=16 marks]

Note: f'(x) = 2x divided by (x2 +4) f''(x ) = 2(4-x2) divided by (x2+4) (I was unable to put divide sign)

a) On which intervals is increasing or decreasing?

b) On which intervals is concave up or down?

c) Sketch the graph of below. Label any intercepts, asymptotes, relative minima, relative maxima and inflection points.

.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

pls like the answer

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the function f(x)=ln(x2 +4)[6+6+8=16 marks] Note: f'(x) = 2x divided by (x2 +4) f''(x )...
Consider the function f(x)=ln(x2 +4)[6+6+8=16 marks] Note: f'(x) = 2x divided by (x2 +4) f''(x ) = 2(4-x2) divided by (x2+4)2 (I was unable to put divide sign) a) On which intervals is increasing or decreasing? b) On which intervals is concave up or down? c) Sketch the graph of f(x) Label any intercepts, asymptotes, relative minima, relative maxima and inflection points.
Analyze and sketch the graph of the function f(x) = (x − 4)2/3 (a) Determine the...
Analyze and sketch the graph of the function f(x) = (x − 4)2/3 (a) Determine the intervals on which f(x) is increasing / decreasing (b) Determine if any critical values correspond to a relative maxima / minima (c) Find possible inflection points (d) Determine intervals where f(x) is concave up / down
Let f(x)=6x^2−2x^4. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates...
Let f(x)=6x^2−2x^4. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1.   f is increasing on the intervals 2.   f is decreasing on the intervals 3.   The relative maxima of f occur at x = 4.   The relative minima of f occur at x =
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval...
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . On which intervals is the function positive? On which intervals is the function negative? Does f have any symmetries? f is even;f is odd;    f is periodic;None of the above. Find all the asymptotes of f (enter your answers as equations): Vertical asymptote (left): ; Vertical...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing     decreasing   question#2: Consider the following function. f(x) = 2x + 1,     x ≤ −1 x2 − 2,     x...
given function f(x)=-x^3+5x^2-3x+2 A) Determine the intervals where F(x) Is increasing and decreasing b) use your...
given function f(x)=-x^3+5x^2-3x+2 A) Determine the intervals where F(x) Is increasing and decreasing b) use your answer from a to determine any relative maxima or minima of the function c) Find that intervals where f(x) is concave up and concave down and any points of inflection
Analyze the function f and sketch the curve of f by hand. Identify the domain, x-intercepts,...
Analyze the function f and sketch the curve of f by hand. Identify the domain, x-intercepts, y-intercepts, asymptotes, intervals of increasing, intervals of decreasing, local maximums, local minimums, concavity, and inflection points. f(x) = 3x^4 − 4x^3 + 2
4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x + 2 a....
4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x + 2 a. Find the intervals where f is increasing/f is decreasing b. Find the intervals where f is concave up/f is concave down c. Find all relative max and relative min (state which is which and why) d. Find all inflection points (also state why)
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of...
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of f: 2)Vertical asymptotes: 3) Horizontal asymptotes: 4) Intersection in y: 5) intersection in x: 6) Critical numbers 7) intervals where f is increasing: 8) Intervals where f is decreasing: 9) Relatives extremes Relatives minimums: Relatives maximums: 10) Inflection points: 11) Intervals where f is concave upwards: 12) intervals where f is concave down: 13) plot the graph of f on the plane:
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth)...
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth) c) Symmetry (Show testing for symmetry) d) asymptotes e) Intervals of increase/decrease (approximate the critical numbers to the nearest thousandth. Be sure to show the values tested) f) Local maxima and local minima g) Intervals of concavity and points of inflection (be sure to show all testing) h) summary for f(x)=(x^2)/(x-2) Domain X intercepts: Y intercept: symmetry: asymptote: increasing: decreasing: local max: local min:...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT