Consider the function f(x)= x + 12x^2/3
(c) Give the intervals of increase and decrease of f(x).
(d) Give the local maximum and minimum values of f(x).
(e) Give the intervals of concavity of f(x).
Consider the function f(x)= x + 12x^2/3 (c) Give the intervals of increase and decrease of...
Consider the function A. Give the intervals of increase and decrease of B. Give the local maximum and minimum values of C. Give the intervals of concavity of f(3) = x +3.03 f We were unable to transcribe this imageWe were unable to transcribe this image
3.(12 pts) (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c) Find the intervals of concavity and the inflection points. (d) Sketch the graph. g(x) = 200 + 8x3 + x4
For the function f(x) = -**-4x find the following, and use it to graph the function. Find: a) (2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e) 4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve
Consider the function: f(x) = ln(cos x) Do the following: • Find the domain of the function • Find all critical points • Find all extrema and classify each as a local maximum, local minimum, or a saddle • Find all intervals of increase and decrease • Find all intervals of concavity and find any inflection points • Sketch a graph of the function with the information you found above
Graph the polynomial using calculus methods. F(x)= 7/3 x3 + 13/2 x2 -12x +3 List local extrema, intervals of concavity, and inflection point(s) if they exist. Local maximum: Local Minimum: Concave up: Concave down: Inflection point(s):
13) Use the guidelines to graph the following function (Domain, Intercepts, Symmetry, Asymptotes, Intervals of Increase or Decrease, Local Maximum and Minimum Values, Concavity and Point of Inflection). 2x 3 f(x) 2x 8 101 8 6 4 2 2 4 6 8 10 -10 -8 6 -4 -2 -2 4 6 8 -10
13) Use the guidelines to graph the following function (Domain, Intercepts, Symmetry, Asymptotes, Intervals of Increase or Decrease, Local Maximum and Minimum Values, Concavity and Point of Inflection). 2x – 3 f(x) 2x 8 10 8 02 4 N 2 4 02 8 10 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10
2. Consider the function f(x) = sinx 2+cos a) What is the domain of the function? b) Use the first derivative to locate the intervals of increase or decrease as w e the intervals of increase or decrease as well as any local your analysis to the intervalo Sxs 21. Indicate the exact coordinates of the al extrema and clearly specify whether the point is a local max or local min. use the second derivative to determine intervals of concavity...
show work 2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
show work 2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.