DETAILS HARMATHAPBR1 10.1.005. Do the following for the function. y = (a) Find y'-"). x) -...
2.1 & 2.2 Finding relative max and min, inflection points and graphing Find all the critical values of f)--3)Which critical value gives a relative maximum? Which critical value gives a relative minimum? Find all the inflection points of f(x) 2 -2r +1,ga) Does the function g(r) Jrl have any critical value? Sketch a graph for f(x) such that f'(z) >0 over the intervals (-00,-2) and (2,4); f(a) < 0 over the intervals (-2,2) and (4, oo); f"()0 when 0, r...
Consider the following function. f(x) = 2x3 + 3.r? – 120. (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: (-9,-5) (-5, 4) (4,0) (-00,00) Decreasing: (-, -5) (-5, 4) (4,-) (-09, ) (C) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) =...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x25 y= x2-64 intercept (x, y)- relative minimum (x, y)- relative maximum (x, y) point of inflection (x, y)- Find the equations of the asymptotes. (smaller x-value) (larger x-value) (horizontal asymptote) Use a graphing utility to verify your results. O 1/8 points Previous Answers LarCalc9 3.6.009. Analyze and sketch a graph of the function....
Recall: For a function y = f(x), the critical points are (c,f(c)) for all c for which f,(c) = 0 Each such point is a relative maximum if f"(c) < 0 and a relative minimum if f"(c) > 0 For the following functions, find all critical points and determine if they are relative minimum or maximum, if possible. y-x2-4x 1 y=x3-6x2 + 9x-2 (4 У х Recall: For a function y-(x), the inflection points are (d.f(d)) for all c for...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) х y = (x - X + 7 y' =- (x-7) 2x + 28 (x-7) Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes y" vertical asymptotes Find any critical points. (x, y) = Find any relative maxima and relative minima. relative maximum (x, y) =...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of infection, and asymptotes. (If an answer does not exist, enter DNE.) Rx) xvx intercept (x, y) (smaller x-value) (targer x-value) relative minimum )- relative maximum (X) = point of Inflection (x,y) = Find the equation of the asymptote. Use a graphing utility to verify your results. 6 Web 4 matem Get Homework Hep With Chegastu Google Account -2 Wesign
Find the relative extrema and the points of inflection (if any exist) of the function. Use a graphing utility to graph the function and confirm your results. (If an answer does not existenter DNE.) F(x) = 7er - 7e- 2 maximum (x, y) minimum (x, y) = 10 inflection point (x, y) = (1
need hw help For the function f(x) = ln(x2+25). Find all interval(s) where f(x) is increasing. Select all that apply. (O, 5) (-0, 0) (-5, 0) ol-00,-5) None (0, 2) (5, 00) For the function f(x) = in(x2+25). Find all interval(s) where f(x) is decreasing.Select all that apply. (5, 0) (-00, 0) O (0, 5) (-0, -5) (0, 0) None (-5, 0) For the function f(x)=Ln(x2+25), identify any relative maximum or minimum point(s). Select all that apply. (21n(5), ) is...