(1 point) Below is the graph of the derivative f\'(r) of a function defined on t
ID: 2888919 • Letter: #
Question
(1 point) Below is the graph of the derivative f'(r) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. (A) For what values of x in (0,8) is f(x) increasing? Answer: Note: use interval notaion to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can enter the empty set as (B) Find all values of x in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in the box below. If there are no local minima, enter None. Local Minima:Explanation / Answer
a)
The graph is increasing means f'(x) >0
Thus, when graph of f'(x) is above the x-axis then f(x) is increeasing.
hence in interval
(3,8)
b)
The local minima occurs when f'(x) changes sign from negative to positive. That is when graph of f'(x) crosses the x-axis from below to up.
hence point is
3
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