Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Let f(x)=8(Sqrt(x))−4x for x>0. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative
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 = |
Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".
In the last two, your answer should be a comma separated list of x values or the word "none".
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- q.2 Either f(x) a graphically defined function. Choose all points in the domain of f(x) (values of x) where f(x) is not continuous.arrow_forwardA function and its graph are given. f(x) = + 4x2 - 20x – 20 y 250 200 150 100 50 - 10 -5 5 –50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) Estimate where f"(x) o. (Enter your answer using interval notation.) Find where f"x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) Find where r(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima relative minimaarrow_forward
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