12. Determine the intervals on which the function f(x) = 3x5 - 10x3 + 12x - 5 is concave up or concave down and identify any inflection points. Write intervals in interval notation.
Only g and h needs answers (1 point) Book Problem 3 Consider the function f(x) = x + 2 cos(x), 0<x<21. For the following questions, write inf for , -inf for - , U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = 1-2sinx b.) f(x) is increasing on the interval(s) (0,pi/6)U(5pi/6,2pi) c.) f(x) is decreasing on the interval(s) (pi/6,5pi/6) d.) f(x) has a local minimum at 5pi/6 e.) f(x) has a...
(1 1 point) Let F(x) = 5 9 dt, for > 9. In(3) A. F'(2) 9/(In(3x)) B. On what interval or intervals is Fincreasing? те (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5),(7,10), or enter none for no intervals.) c. On what interval or intervals is the graph of F concave up? CE (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5),(7,10), or enter none...
Why is 0 one of the critical points? Part 1: Identify Critical Numbers Consider the function f(x) = x - 3x5 Σ The domain of f is: (-Inf,Inf) f'(x) =1-x^(-2)/(3) The critical number(s) of f are x = Σ 1,-1,0 -3 IT N/M Part 1: Identify Critical Numbers Consider the function f(x) = x - 3x5 Σ The domain of f is: (-Inf,Inf) f'(x) =1-x^(-2)/(3) The critical number(s) of f are x = Σ 1,-1,0 -3 IT N/M
(1 point) Let f(x) = 6x + Find the open intervals on which f is increasing (decreasing). Then determine the e-coordinates of all relative maxima (minima) 1. f is increasing on the intervals (-INF-sqrt(1/3)U(sqrt(1/3).INF) 2. fis decreasing on the intervals (-sqrt(1/3).0)0(0,sqrt(1/3)) 3. The relative maxima off occur at sqrt(1/3) 4. The relative minima off occur at z = sqrt(1/3) Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of...
If y = logga) f(x), where f(x) > 0 and g(x) > 0 are functions of x, find f'(x) On f(x) In g(x) g'(x) Inf(x) B. 8'(x) f'(x) f'(x)8'(x) f(x) OD_1'« n g(x) :'(x) Inf(x) g(x) In? g(x) O E. loga) f(x) ({*) – g'(x) In g(e)) flr
The graph of y = f(x) is shown to the right. Identify the intervals on which f'(x) > 0. a b d fah IT с Which of the following shows every interval on which f'(x) > 0? Choose the correct answer below. O A. (ac), (d.f) O C. (5.c), (e,f), (g,h) O B. (a.c), (e,f), (g,h) OD. (5.c), (d,f), (g,h)
need help with these.please. I-8 Let f(2) Find the open intervals on which fis increasing (decreasing). Then determine the x-coordinates of +8 all relative maxima (minima). 1. f is increasing on the intervals 2. fis decreasing on the intervals 3. The relative maxima of f occur at - 4. The relative minima off occur at 2 - Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such...
check if e-1/4/ f(x) if x > 0 if x < 0 is differentiable at 0.
For the given graph of f(x) below, use interval notation to express the solution to f(x) > 0. -7-675-- -2 -1 A) (0,0) B) (-5,2) u (5, 9) c) (0,3) D) (-00,-5) u (2,5)