Please find where the functions are increasing and decreasing, and where there are any relative maximums...
Find the intervals where f(x) = xV(8 - x2) is increasing and decreasing. Identify any local minimums or maximums.
Find where the graph of f is increasing, decreasing, concave upward and concave downward then find any intercepts, relative extrema, points of inflection, and asymptote. Use this information to sketch the graph of f.f(x) = (2x-1)2(x-3) (x-7)
$$ y=\frac{6\left(x^{2}-1\right)}{x^{2}+3} \quad \underline{\text { Note }}: y^{\prime}=\frac{48 x}{\left(x^{2}+3\right)^{2}}, \quad y^{\prime \prime}=\frac{144\left(1-x^{2}\right)}{\left(x^{2}+3\right)^{3}} $$Sketch the graph of each of the following, giving intercepts, asymptotes, where increasing. where decreasing, any relative maximum and relative minimum points, where concave upward, where concave downward, and any inflection points.
Find the Intervals of increasing and decreasing, as well as the relative extrema of the graph below. 2. Find the intervals of increasing and decreasing, as well as the relative extrems of the graph below. relative maximum is at x=-1 Increasing (-0,1 0(1 ) decreasing (0,-1)
2. Determine where the functions below are increasing and decreasing, and where in the graphs they are concave up and concave down. Find the relative extrema and inflection points. a. g(x)=V?+1 b. f(x)=
1. Find any absolute maximums or minimums of f(x)=xV1 - X on (-1,1). Use calculus methods illustrated in your book and notes and show all work. Do not use a graph to justify your answer. 2. Evaluate the limits using calculus methods illustrated in your book and notes and show all work. Do not use a graph to justify your answer. a. liman 2-0*+sin(2x) tan(4x)
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...
5. Find where the function f(x) = 2x4 - 4x?- 5 is increasing and decreasing, and find the relative extrema. 6 6. Find the absolute extrema of the function f(x) + over the interval (1,6]. I
please answer both Calculus Increasing and Decreasing Functions 1. Given the graph of f(x), sketch the graph of f'() on the same graph in a different color. PM 2. Given the graph of ''(r), sketch the graph of f(x) on the same graph in a different color. W
2. Let f(t) = 2+1 (a) Find the intervals over which f is increasing and decreasing. (b) Find the local maximums and minimums of f. (c) Find the intervals of concavity of f. (d) Find the inflection points of f.