Question

Investigate function f(x)= x3+px+q for maxima and minima. Study also monotonicity intervals, convexity/concavity regions and inflection...

  1. Investigate function f(x)= x3+px+q for maxima and minima. Study also monotonicity intervals, convexity/concavity regions and inflection points. Consider two cases when p>=0 and when p<0.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the function f(x) = −x3 + 4x2 + 7x + 1. (a) Use the first...
Consider the function f(x) = −x3 + 4x2 + 7x + 1. (a) Use the first and second derivative tests to determine the intervals of increase and decrease, the local maxima and minima, the intervals of concavity, and the points of inflection. (b) Use your work in part (a) to compute a suitable table of x-values and corresponding y-values and carefully sketch the graph of the function f(x). In your graph, make sure to indicate any local extrema and any...
what does a derivative tell us? F(x)=2x^2-5x-3, [-3,-1] F(x)=x^2+2x-1, [0,1] Give the intervals where the function...
what does a derivative tell us? F(x)=2x^2-5x-3, [-3,-1] F(x)=x^2+2x-1, [0,1] Give the intervals where the function is increasing or decreasing? Identify the local maxima and minima Identify concavity and inflection points
Given f(x)= x3 - 6x2-15x+30 Determine f ’(x) Define “critical point” of a function. Then determine...
Given f(x)= x3 - 6x2-15x+30 Determine f ’(x) Define “critical point” of a function. Then determine the critical points of f(x). Use the sign of f ’(x) to determine the interval(s) on which the function is increasing and the interval(s) on which it is decreasing. Use the results from (c) to determine the location and values (x and y-values of the relative maxima and the relative minima of f(x). Determine f ’’(x) On which intervals is the graph of f(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
Given the function f(x) = x3 - 3x2 - 9x + 10 Find the intervals where...
Given the function f(x) = x3 - 3x2 - 9x + 10 Find the intervals where it is increasing and decreasing and find the co-ordinates of the relative maximums & minimums. Find the intervals where it is concave up and down and co-ordinates of any inflection points Graph the 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 )...
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.
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. .
1. (Continued) Consider the function (e) (f) f (x) = x3 − 7 x + 5....
1. (Continued) Consider the function (e) (f) f (x) = x3 − 7 x + 5. 2 (0.5 pt) Find the possible inflection points of f(x). Show work. (0.5 pt) Test the possible inflection points of f(x) to determine if each point is or is not an inflection point. Your work must show that you tested each point properly and support your conclusion. Be sure to state your conclusion. Show work. (g) (1 pt) Find the global minimum and global...