Exercise (b) Find the local minimum and maximum values of f Step 1 We know f(x) changes from increasing to decreasing a...
8. [-/1 Points] DETAILS SCALCET8 4.3.AE.002.NVA MY NOTES ASK YOUR TEAC EXAMPLE 2 Find the local minimum and maximum values of the function below. f(x) = 3x4 - 1683 - 192X2 + 5 Video Example SOLUTION f'(x) = 12x3 - 48x2 – 384x = 12x(x - 8)(x + 4) From the chart Interval 12x X-8 X + 4 f'(x) f x < -4 decreasing on (-0,-4) -4 < x < 0 + increasing on (-4,0) 0<x< 8 decreasing on (0,8)...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in...
Find any absolute or local maximum and minimum values of f(x) = 10 - 2x if x26. Select one: a. 6 is a local minimum b. None of these c. 6 is an absolute maximum d. 6 is an absolute minimum e. - 4 is an absolute minimum O f. - 4 is a local maximum g.-2 is an absolute maximum
a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur Determine the open interval(s) of x for which g(x) increases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. o A. The function is increasing on the open interval(s) Type your answer in interval notation. Use a comma to separate answers as needed.)...
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1. Below is a function f for which f' and t” have already been computed for you. f(x) = 24 – 43% + 162 ' (t) = 4(x + 1)(x - 2) 2 f "(t) = 122(x – 2) (a) Find the intervals where f is increasing/decreasing (or write "none"). Also find the L-values where a local maximum/minimum occurs (or write "none.") Increasing on: Decreasing on: Local Max(s) at 2= Local...
Tutorial Exercise Find the indicated derivative. If f(x) = x + 5, find f'(x). Step 1 We want to find f'(x) if f(x) = x + 5. We start by finding f'(x), remembering that Vx+ 5 = (x + 5) 112 v. f(x) = Submit Skip (you cannot come back)
1-Find the local maximum value of f using both the First and Second Derivative Tests. f(x) = x + √4 - x 2-Consider the equation below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.) f(x) = 2x3 + 3x2 − 72x (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.) ( , ) ∪ ( , ) Find the interval on which f is decreasing. ( , ) (b) Find the local minimum and...
Page 2 ame: Written Portion 1. [8 points) Find relative maximum and minimum values and stive maximum and minimum values and the the intervals the function is increasing and decreasing for f(x) = €28–322
What is the difference between the local maximum and local minimum values of the function f(x) = COSX + sinx in (0,2T) Yanıtınız: o M na OVE o 2 23 O Yanıtı temizle
f(x) = x2 (1 – In (x)) I State the intervals over which f(x) is increasing and decreasing. State any local maximum or minimum values of the function.