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August 27, 2014

Search: Basic Calculus-Relative Extrema

Number of results: 17,520

Calculus
Find the relative extrema and absolute extrema if any. Use the first derivative test for the function f(x)=x^3-3x+2
April 17, 2012 by Alan

calculus
If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f'(x)=(x2-4)g(x), which of the following is true? f has a relative maximum at x=-2 and a relative minimum at x=2, f has a relative minimum at x=-2 and has a relative maximum at x=2, f...
January 2, 2011 by felix

calculus
find the relative extrema and points of inflection, if possible, of y = xln((x^4)/8) Any help would be awesome...thanks! (i know that the relative extrema come from critical values from y' and points of inflection come from y'')
January 19, 2012 by Juliet

Calculus
Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. (If an answer does not exist, enter DNE.) f(t) = 7 t + 3/t relative maximum (x, y) = relative minimum (x, y) =
June 18, 2013 by Anonymous

calculus
Find any relative extrema and any points of inflection if they exist of f(x)=x^2+ ln x^2 showing calculus. Please show work in detail so I can follow. Thanks. The answer is no relative max or min and the points of inflection are (1,1) and (-1,1) but I'm having trouble getting ...
May 4, 2013 by Rene

differentiability
If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f prime of x equals (x2-4)*g(x), which of the following is true? A. f has a relative maximum at x=-2 and a relative minimum at x=2, B. f has a relative minimum at x=-2 and a relative ...
December 31, 2010 by matthew

Calculus
Find the relative extrema of f(x)= x/ln(x)
February 8, 2012 by Jack

Calc-extrema
Find all relative and maximum extrema in ht efunction k(x)=(x^2-4)^-2 on the interval [-3,3].
December 14, 2012 by daryl

Calc-extrema
Find all relative extrema in the function h(x)=cos(2pix/3) on the interval [0,2]
December 9, 2012 by daryl

Calculus
Find all the relative extrema of f(x) = x = x3 3x2 + 4.
January 18, 2012 by Jordan

Basic Calculus-Relative Extrema
Hello, please help me :) A question asked that I find all relative extrema of a function f(x)= x + 1/x. I'm a bit confused with my solution, but I'll show my work first..: I found f'(x) to get the critical numbers: f'(x)=1-x^-2 f'(x)=(x^2 -1)/x^2 f'(x)=(x+1)(x-1)/x^2 therefore...
March 15, 2012 by mary

Calculus
Is this statment true? Please explain. At a relative extrema, f'(x) = 0
January 1, 2013 by Lost One

CALCULUS
Find the relative extrema of function. f(x,y)=x2+3xy+y2-10x-20y+12
October 19, 2010 by AYA

Calculus A
Find all relative extrema and points of inflection for the function; h(x)=(x^2+5x+4)/(x-1)
March 24, 2014 by MacDonald

calc
Average daily temp,y, is y=45-23cos(2pi(x-32)/365), where x is time in days, x=1, corresponds to Jan 1 and y is temp in degrees F. Determine the period of the function. Determine critical numbers, over one period. Determine relative extrema, what does relative extrema represents
October 16, 2010 by t

math
Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. g(x)=4x^2+7x+6 relative maximum (x, y) = (, ) relative minimum (x, y) = (, )
November 8, 2012 by Britney

Math
Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. g(x)=4x^2+7x+6 relative maximum (x, y) = (, ) relative minimum (x, y) = (, )
November 8, 2012 by Teetee

Calculus
Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y = (x^2 + 1)/(x^2 - 9)
January 10, 2011 by Jands

Calculus
Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y = (x^3)/(x^2 - 4)
January 10, 2011 by Jands

Calculus
Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y= 3[(x-1)^(2/3)] - [(x-1)^2]
January 10, 2011 by Jands

Followup-Calculus-Extrema
Find and classify the relative maxima and minima of f(x) if f(x)= defint a=0 b=x function= t^2-4/(1+cos(t)^2) dt x^2-4/(1+cos(x)^2)= 0 x^2-4=0 x^2=4 x= +/- 2 So I got relative maximum as -2 and 2. And relative minimum as zero. However, when I graph it on Wolfram, it gives me ...
May 17, 2013 by Eric

Calculus
Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y= (x^4) - 8(x^3) + 18(x^2) - 16x + 5
January 10, 2011 by Jands

calculus
Construct a sign chart for the derivative. Then determine the relative and absolute extrema for y = -4x2 + 4 on the interval [-3,3].
February 27, 2013 by nikita

Calculus
Find the relative extrema of the function f(x) = 1/2 x - sinx on the interval (0, 2 pie) please show me how you got this!!
April 23, 2013 by Gabby

math
Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. (If an answer does not exist, enter DNE.) g(x)=x^3-6x relative maximum (x, y) = ( , ) relative minimum (x, y) = ( , )
October 31, 2012 by Britney

calculus
Find all relative extrema and points of inflection of the function: f(x) = sin (x/2) 0 =< x =< 4pi =< is supposed to be less than or equal to. I can find the extrema, but the points of inflection has me stumped. The inflection point is (2pi,0) but shouldn't there be ...
November 14, 2010 by James

calculus
Find all relative extrema of the function. (Enter NONE in any unused answer blanks.) f(x) = x4 8x3
October 8, 2012 by Anonymous

Calculus
1. Find all relative extrema of the function f(x)=x^(6/7)-3. Use the Second Derivative Test where applicable. 2. Find all relative extrema of the function f(x)=2x^4-16x^3+4. Use the Second Derivative Test where applicable.
October 30, 2012 by Rudy

Math
For the function y = x^4-2x^2+1 Identify all relative extrema. Identify any points of inflection. Identify the absolute extrema on the interval [-2,3]
April 17, 2011 by Anonymous

Math
For the function y=(x^4)-(2x^2)+1 Identify all relative extrema. Identify any points of inflection. Identify the absolute extrema on the interval[-2,3].
April 19, 2011 by Anonymous

Applied Calculus
Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.) g(x)=x^(3)-9x
March 3, 2013 by Jacob

calculus
relative extrema x^3 + 1/2x^2 - 2x + 5 Ok I have 3x^2 + x - 2 = 0 Am I on the right track? I think i know why I kept on asking for help with these pribelms. I forgot the step of factoring. Please check... 3x^2 + x - 2 = 0 (3x-2)(x+1)=0 x=2/3, x=-1 Correct. Nice job. If you ...
March 9, 2007 by dee

calculus
Find the relative extrema of f(x) = -2x^2 + 4x + 3 I don't know how to use the First derivative test to find it.
October 31, 2010 by jack

calculus
f(x)=e^x-x (a) at what x-values does f have relative extrema? (b) find the exact value of -1 to 1 on an interval f(x)dx. (c) show that f does not have any inflection points.
February 19, 2012 by Cleondra

Calculus
a)Find dy/x where y=tan(4=x^3)^4? B) Find relative extrema of f(x)=x^3-3x^2+4
June 24, 2012 by Hank

calculus
to find the possible relative extrema of the function f(x,y) subject to the constraint g(x,y)=8, the lagrangian function based on the lagrange multiplier λ is given by....
June 12, 2012 by soffy

calculus-extrema
Find and classify the relative maxima and minima of this function f(x)= definite integral sign where a=0 and b=x. t^2-4/(1+(cos^2(t)) dt what should my value for u be? is it just t. not sure how to even tackle this problem.
May 15, 2013 by Eric

Calculus A
Find all relative extrema and points of inflection for the following function... h(X)= X^2+5X+4/ X-1 min= max= inflection points=
March 24, 2014 by Anonymous

calculus
Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function f(x,y)= 3x^2 - 3e^5y^2
March 15, 2012 by amalia

math, Calculus
Find the relative extrema of the functions. f(x)=4x/(x^2+1) f(x)=1/(x-2) take the derivative, set to zero. the first as an example: f(x)= 4x (x^2 +1)^-1 f'(x)= 4 (x^2 +1)^-1 -4x(2x)(x^2 +1)^-2 set to zero. Multiply thru by (x^2+1)^2 0=4(x^2+1) - 8x^2 4x^2=1 x= +- 1/2 what ...
February 28, 2007 by Reisha

calculus
Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. f(x,y)=3x^2 - 3xy + 3y^2 +5
March 15, 2012 by amalia

Calculus
Find all extrema, inflection points, and asymptotes where applicable f(x)= 2x^3-12x^2+18x I got 0, 8 for extrema 2, 0 for I.P and I don't know how to find asymptotes
November 4, 2010 by Dan

Extrema-Check my work please?
Find and classify the relative maxima and minima of f(x) if f(x)= defint a=0 b=x function= t^2-4/(1+cos(x)^2) dt x^2-4/(1+cos(x)^2)= 0 x^2-4=0 x^2=4 x= +/- 2 So I got relative maximum as -2 and 2. And relative minimum as zero. However, when I graph it on Wolfram, it gives me ...
May 17, 2013 by Eric

Calculus
1. For the function f(x)=4x^3-30x^2+4: a) Find the critical numbers of f(if any); b) Find the open intervals where the function is increasing or decreasing; and c) Apply the First Derivative Test to identify all relative extrema 2. For the function f(x)=(x-1)^(8/11) a) Find ...
October 30, 2012 by Rudy

Math
Find relative extrema of f(x)=x^3-3x^2+4
June 24, 2012 by Hank

math
f(x)=x^4-4x^3+10 Where are the relative extrema, if they exist?
November 11, 2012 by Britney

Calculus
Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative Please show me how u got this!!
April 27, 2013 by Gabby

Calc
Locate any relative extrema and inflection points. y = (ln x)/x
December 2, 2010 by Erica

math
let f(x)=x^3+3x^2-2x+4 What are the critical values? Where are the relative extrema, if they exist?
November 15, 2012 by britney

math
let f(x)=x^3+3x^2-2x+4 What are the critical values? Where are the relative extrema, if they exist?
November 15, 2012 by britney

Calculus
Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show me how u got this!
April 28, 2013 by Gabby

Calculus
Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show me how u got this!
April 28, 2013 by Gabby

Calculus
I have the equation: cos x - x = f(x) I am told to find the relative extrema. I am also told to use the Second Derivative Test where applicable. My question is how do I solve this problem, and how do I know when to use the Second Deriv test? Thanks!
November 14, 2007 by Phil

math
Let f(x)= x^4-4x^3+10 Where are the relative extrema, if they exist? Show all partsof the analysis necessary.
November 11, 2012 by Britney

math
Let f(x)= x^4-4x^3+10 Where are the relative extrema, if they exist? Show all partsof the analysis necessary
November 11, 2012 by Britney

cal
Using the Second Partials Test Find the relative extrema of f(x,y)=-x^(3)+4xy-2y^(2)+1
March 16, 2014 by tony

Calculus
Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes,and points of inflection for y = -x^4 + 2x^3 - x + 2
October 20, 2012 by Sissy

Calculus.......plz help! =)
Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes, and points of inflection for y = -x(x+1)^3
October 20, 2012 by Amy

Basic Calculus-Optimization Problems
Hello, please help me. There is a question where I have to optimize the area of a field that is being fence in like this: [|] i.e. two rectangle fields, side by side: area= 2x by y. I get to use 200ft of fencing. From that diagram and the amount of fencing I have, I made this ...
March 16, 2012 by mary

AP Calculus
Locate the absolute extrema for f(x) = 3/x-1
February 8, 2011 by Sandy

Calculus
For p = 15e^-x, 0 < x < 7, find the local extrema
November 10, 2013 by Anonymous

Calculus
I'm doing test corrections, and it's been a few weeks since we did this, so I'm a little fuzzy. I'm supposed to find the zeros, relative extrema, and inflection points of f(x) = x^3 - 6x^2 + 3x + 10. The zeros would be -1, 2, and 5 right? Then I would take the derivative of ...
December 13, 2011 by Sarah

Calculus
Identify the coordinates of any local extrema of the function y=e^x - e^(2x).
June 15, 2010 by Abigail

Calculus
find the absolute extrema if they exist as well as where they occur f(x)= x-1/x^2+3x+5
November 4, 2010 by Dan

Extrema-Calc
Find and classify the relative maxima and minima of this function f(x)= definite integral sign where a=0 and b=x. t^2-4/(1+(cos^2(t)) dt what should my value for u be? is it just t. not sure how to even tackle this problem.
May 15, 2013 by Eric

Calculus
Locate the absolute extrema of the function on the closed interval f(x) = 2(3-x) [-1,2]
November 16, 2009 by Jenn

calculus
find the value of the derivative (if it exist) at the indicated extrema. 1. f(x)=x^2/(x^2+4) at (0,0) 2. f(x)=(x+2)^(2/3) at (-2,0)
November 3, 2010 by alexus

Calculus 1
Given y = x^4 − 4x^2 + 50. Find any extrema and any points of inflection
December 19, 2010 by Dan

Calculus
find the absolute extrema of f(x)=sin pi x on [-1,2] Not sure how to do this problem....
April 28, 2012 by Tyler

Calculus HELP PLEASE!!!
Find all extrema for the function y=x^5-2x^3+3 on the interval [-10...10]
October 18, 2012 by Elizabeth

Calculus HELP PLEASE!!!
Find all extrema for the function y=x^5-2x^3+3 on the interval [-10...10]
October 18, 2012 by Elizabeth

calculus
How many integer values of a are there such that f(x)=x^+ax^2+8ax+25 has no local extrema?
July 18, 2013 by andy

calculus
A polynomial function p(x) has a relative maximum at (3, -4) a relative minimum at (-1, -6), a relative maximum at (-5, 2) and no other critical points. How many zeros does p(x) have?
March 23, 2013 by James

AP Calculus
Locate the absolute extrema of the function f(x)=2x^2-12x+4 on the closed interval [-6,6].
December 17, 2009 by Help...

calculus
Find critical points of f, and the extrema of f on the given interval. a)f(x) = x^4-10x^2; [0,3] b)f(x) = (x/e^x); [0,2]
November 4, 2012 by carter

Math- Calculus
Locate the absolute extrema of the function on the closed interval: y= 4/x+tan(pix/8), [1,2]
November 8, 2012 by Olivia

cal
Sketch the graph and show all local extrema and inflection points. f(x)= 1/x^2-2x-8 I believe the ans is "Relative max: [1,-1/9]" and No inflection points".
November 21, 2013 by mat

CALCULUS!!!
case 1. Find the absolute maxima and minina values of f(x)=sin2x+cos2x on [0, pie] Specify both the x and y coordinateof the absolute maximum and absolute minimum. Gives answers in exact form. case 2. Use the second derivative test for relative maxima nd minima to find the ...
June 24, 2007 by Mae

math
Given the function f(x)=x^4−6x^2 a.) Find all values of x where local extrema points occur b.)find all values of x where inflection points occur c.) find all local extrema of f(x) d.) find all global extrema of f(x) over the closed interval [-2,3]
November 26, 2012 by Ryan

Calculus
Find the local extrema of the function f(x) = (e^x^2+1)/(2x+1) defined for x > 0, and specify whether they are minima or maxima and give reasons why they are what you claim they are.
October 18, 2010 by Preston

calculus
Let f(x)=ax^3+6x^2+bx+4. Determine the constants a and b so that f has a relative minimu at x=-1 and a relative maximumat x=2.
March 6, 2013 by Cam

calculus
Find the relative max and relative min and the point of inflection, y-intercept for y - x^3 - 9x^2 + 15x. Then sketch its graph.
June 19, 2011 by Yetty

calculus
Hey what is the derivative of xln(x)? Also, could you find the relative max and relative min points for that equation? Thanks a lot!
March 19, 2008 by Ted

calculus
relative maxima and relative minima 2x^2+ 4000/x +10
October 13, 2013 by Liz

Calculus
Graph the following function. Find and state the domain, intercepts, asymptotes, intervals of increase and decrease, local extrema, concavity, and inflections points. F(x)=(x+1)/(square root(x^2+1)) I got so far... Domain: (-infinity, infinity) Intercepts: (0,1)and(-1,0) ...
October 20, 2012 by Devin

trig
use the function G(x)=x^3-8x +1 b) identify and verify the y intercept of G c) estimate the zeros of G to the nearest tenth d) estimate the coordinates of the relative extrema of G to the nearest hundredth e)in what intervals is G positive? Negative? f) in what intervals is G ...
November 12, 2008 by jerson

Calculus
What is the point of inflection of the function f(x)=x^3-8x^2+5x+50? Is the local extrema at f(1/3)=50.8 max and f(5)=0 min? For the second derivative I got f(x)=6x-16 and then got x=16/6 when set to zero.
October 24, 2012 by Bill

Applied Calculus
Let f(x) = −x2 + ax + b. Determine the constants a and b such that f has a relative maximum at x = 2 and the relative maximum value is 13.
February 27, 2013 by Jacob

12th grade calculus
Let f(x)=[x^3-9x] [] --- absolute value a. does f'(x) exist? b. does f'(3) exist? c. does f'(-3) exist? d. determine all extrema of f.
November 4, 2008 by dt

Calculus
Find the absolute extrema of the function on the interval [2, 9]. (Round your answers to the nearest hundredth.) g(x)=x/(ln(x)) Absolute minimum: at x = Absolute maximum: at x =
July 12, 2013 by Anonymous

algebra
1. How to find the numbers, if there are any, at which f has a realtive minimum. What is the realive minima? The graph that I have looks like W, it has point at -1 on the x axis, 1 on the y axis, and 1 on the x axis. Choices that I have: a. f has a relative minimum at x=0; the...
September 1, 2007 by Josie

Calculus AB
Find a, b, c, and d such that the cubic function ax^3 + bx^2 + cx + d satisfies the given conditions Relative maximum: (2,4) Relative minimum: (4,2) Inflection point: (3,3) So this is what I have so far: f'(x) = 3a^2 + 2bx + c f''(x) = 6ax + 2b f(2) = a(8) + b(4) + c(2) + d= 4...
November 18, 2011 by Savannah

Calculus
relative extrema x^4-2x^2+5 so far I know how to find the derivative which is 4x^3-2x now I am stuck... Please help Huh? 4x^3-2x=0 2x(2x^2-1)=0 and what are the roots? I will give you a hint: one is x=0 The other two are in the second parenthesis. Is it x-1 and x=-1 I did a ...
March 9, 2007 by dee

Calculus
True or False: Consider the following statement: A differentiable function must have a relative minimum between any two relative maxima. Think about the First Derivative Test and decide if the statement is true or false. I want to say that its true and that the question is ...
December 10, 2011 by Mishaka

Calc
For the function f(x) = 5x^6 + 6x^5 - 15x^4 a.) find where the function is increasing & decreasing b.) find where the graph if concave up & concave down c.) name all inflection points d.) find all relative extrema
February 6, 2011 by Amy

Calculus
Use the given derivative to find all critical points of 'f' and at each critical point determine whether a relative maximum, relative minimum, or neither occurs. Assume that 'f' is continuous everywhere. f' (x) = (1-2x)/ ∛(x+3)
November 29, 2010 by Roy

Grade 12 Calculus
Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. f(x) = (x − 1)^2 , 0 ≤ x ≤ 2
April 18, 2013 by i am dying helppp

Calculus
let f(x)=x^3(e^-x) Answer using calculus, use graphing calculator only to check work. a) Find the local and global extrema of f. b) Find the intervals where f is increasing/decreasing. c) Find the inflection points of f. d) Find the intervals where f is concave up/down. e) ...
April 17, 2011 by Janet

calculus
Given the function f (x) = 3x^4 6x^3 + 3x^2 . Find (if any) (i) the relative maximum and relative minimum (ii) the interval(s) where f(x) is increasing and decreasing. (iii) the interval(s) where f(x) is concave up and concave down
December 8, 2011 by orkid

Calculus
3. Discuss the graph of y=x/3+2+3/x. Determine the values of x for which the graph is a. Continuous b. Rising c. Falling d. Concave upward e. Concave downward f. Has a relative maximum g. Has a relative minimum
January 16, 2012 by Anonymous

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