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Calculus
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The graph of the first derivative of a function is shown. (Assume the function is defined only for .)

a. On what interval(s) is  increasing? 

b. At what value(s) of does  have a local maximum? At what value(s) of  does  have a local minimum? 

c. On what interval(s) is  concave upward? On what interval(s) is  concave downward? 

d. What are the -coordinate(s) of the inflection point of ?

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Kristina Dela Cruz
Kristina Dela CruzLv10
17 Jan 2021

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Related questions

The graph of the derivative f' of a continous function f is shown.

(a) On what intervals is f increasing? Decreasing?

(b) At what values of x does f have a local maximum? Local minimum?

(c) On what intervals is f concave upward? Concave downward?

(d) State the x-coordinate (s) the point (s) of inflection.

(e) Assuming that sketch a graph of f.

 


Now suppose the graph #6 is the graph of the second derivative f", use the graph to answer the following questions
a) on what interval (s) is f concave upward
b)on what interval(sh is f concave downward
c)at what value of x does f have an inflection point?

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