progamer3054
New member
- Joined
- Jul 9, 2014
- Messages
- 2
I'm having an extremely difficult time doing this. Can anyone offer some assistance? A link to the image of the problem as well as attachments are provided.
The graph of f(x) = (x^2)/(x^3+1) is shown below on the interval (-1, infinity)
1. Use the derivative to find any critical points. Create a sign chart (show your computations) to indicate where this function is increasing and decreasing, and classify each critical point as a local maximum or minimum. Mark these points on the graph, and draw the tangent lines
2. Refer to the function on page 1:
a) Compute the second derivative of f(x)
b) Use a calculator or software to solve for the critical points
c) Create a sign chart (show your computations) to indicate where this function is concave up or concave down, and determine whether the function has a maximum slope or minimum slope at that inflection point
d) Mark the inflection points on the graph, and draw the tangent lines
e) What are the slopes of the tangent lines at the inflection points?
The graph of f(x) = (x^2)/(x^3+1) is shown below on the interval (-1, infinity)
1. Use the derivative to find any critical points. Create a sign chart (show your computations) to indicate where this function is increasing and decreasing, and classify each critical point as a local maximum or minimum. Mark these points on the graph, and draw the tangent lines
2. Refer to the function on page 1:
a) Compute the second derivative of f(x)
b) Use a calculator or software to solve for the critical points
c) Create a sign chart (show your computations) to indicate where this function is concave up or concave down, and determine whether the function has a maximum slope or minimum slope at that inflection point
d) Mark the inflection points on the graph, and draw the tangent lines
e) What are the slopes of the tangent lines at the inflection points?
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