# Basic Calculus-Relative Extrema

23,403 results

### Calculus

Find the relative extrema and absolute extrema if any. Use the first derivative test for the function f(x)=x^3-3x+2

### 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...

### Calculus

Find the x-values of all points where the function below has any relative extrema. Find the values(s)of any relative extrema. G(x)=(x-3)^2/x-4. How do I solve this?

### 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'')

### Calculus

Find the values of x that give relative extrema for the function f(x)=3x^5-5x^3 A. Relative maximum: x= 1; Relative minimum: x=sqrt(5/3) B. Relative maximum: x=-1; Relative minimum: x=1 C. Relative maxima: x=+or- 1; Relative minimum: x=0 D. Relative maximum: x=0; Relative ...

### 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) =

### 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 ...

### 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 ...

### Calculus AB

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x(1/3) + 6x(4/3). You must justify your answer using an analysis of f '(x) and f "(x). My start to a solution: x-values: (-1/8) and (-1/4) I got -1/8 from f'(x)- extrema I got -1/4 ...

### Calculus

Find the relative extrema of f(x)= x/ln(x)

### Calc-extrema

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

### Calc-extrema

Find all relative extrema in the function h(x)=cos(2pix/3) on the interval [0,2]

### calculus

Identify any intercepts, relative extrema, points of inflection, and asymptotes. y = 4x^2 − 24x + 34 X-intercept ? (x, y) (smaller x-value) (x, y) (larger x-value) relative minimum (x, y)

### calculus

Identify any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = x^3 + 3x^2 + 3x + 2 x-intercept (x, y) = y-intercept (x, y) = relative maximum (x, y) = relative minimum (x, y) = point of inflection (x, y) = ...

### Calculus

Find all the relative extrema of f(x) = x = x3 – 3x2 + 4.

### 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...

### Relative Extrema: AP Calculus

Consider the function f(x)= (3/4)x^4-x^3-3x^2+6x Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. Determine the interval(s) where f(x) is increasing (if any) and the interval(s) ...

### Calculus

Is this statment true? Please explain. At a relative extrema, f'(x) = 0

### CALCULUS

Find the relative extrema of function. f(x,y)=x2+3xy+y2-10x-20y+12

### Calculus A

Find all relative extrema and points of inflection for the function; h(x)=(x^2+5x+4)/(x-1)

### Calculus

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)=9x^1/3+9/2x^4/3. I've gotten -0.5 as the relative minimum and x=1 for the inflection points. Is this correct? If not, can you show me how to get the correct answer please

### 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

### 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) = (, )

### 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) = (, )

### 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)

### Calculus

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

### 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]

### 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 ...

### 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

### calculus

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

### 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!!

### Calculus

Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx - x (0,2ð)

### 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) = ( , )

### Math

Find x-value of all points where function has relative extrema and find the Values of these extrema. f(x)= (x^2)/(ln(x))

### 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 ...

### calculus

Find all relative extrema of the function. (Enter NONE in any unused answer blanks.) f(x) = x4 – 8x3

### 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.

### 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]

### 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].

### 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

### 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 ...

### 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.

### 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.

### Calculus

a)Find dy/x where y=tan(4=x^3)^4? B) Find relative extrema of f(x)=x^3-3x^2+4

### 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....

### 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.

### Calculus

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x^(1/3) + 6x^(4/3). Please use an analysis of f ′(x) and f ′′(x).

### Calculus

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x^(1/3) + 6x^(4/3). You must justify your answer using an analysis of f '(x) and f "(x). I found the first and second derivative which i think is (8x+1)/(x^(2/3), and the second is ...

### 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=

### 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

### 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 through by (x^2+1)^2 0=4(x^2+1) - 8x^2 4x^2=1 x= +- 1/2 what ...

### 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

### 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

### 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 ...

### 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 ...

### Calculus

find the intervals on which f(x) is increasing and decreasing along with the local extrema. f(x)=x^4 + 18x^2 I took the derivative and got: f'(x)= 4x^3 + 36x When I set this to zero, I get the imaginary number 3i. I can't get test values for an imaginary numbers, so I can't ...

### Math

Find relative extrema of f(x)=x^3-3x^2+4

### math

f(x)=x^4-4x^3+10 Where are the relative extrema, if they exist?

### 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!!

### Calc

Locate any relative extrema and inflection points. y = (ln x)/x

### math

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

### math

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

### cal

f(x)= x^5-3x^3-x+6 approximate any real zeros and relative extrema

### @Steve RE: Relative Extrema: AP Calculus

Thanks so much for all your help! That was way simpler than I thought, I think I was just overthinking it. Do you think you could also help me find the concave up at x = −2, x = −1, and x = 2 and show f(x) is concave down at x = 0? (this is still for the function f...

### 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!

### 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!

### 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!

### math

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

### math

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

### cal

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

### 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

### 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

### 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 ...

### maths extrema need hlp

f(x,y)=sinx+siny+sin(x+y), 0<=x<=2π 0<=y<=2π Find the extrema of f and state their nature show solution step

### Please check my Calculus

1. Find all points of inflection: f(x)=1/12x^4-2x^2+15 A. (2, 0) B. (2, 0), (-2, 0) C. (0, 15) D. (2, 25/3), (-2, 25/3) E. none of these I got D. I found the second derivative and equaled it to 0 and solved for x. I plugged the x values in to get my points. 2. Find the ...

### Pre-Calc/Trig

Identify the extrema for the function. Classify it as a relative (local) or absolute (global) maximum or minimum value. f(x)=4x^3-12x^2+15

### AP Calculus

Locate the absolute extrema for f(x) = 3/x-1

### Calculus

For p = 15e^-x, 0 < x < 7, find the local extrema

### 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 ...

### Calculus

Identify the coordinates of any local extrema of the function y=e^x - e^(2x).

### Calculus

find the absolute extrema if they exist as well as where they occur f(x)= x-1/x^2+3x+5

### Calculus

find the absolute extrema for f(x)= (5-x) with a closed interval of -1,2

### Calculus

When given the f graph, how do you determine extrema of F(x)? Concavity of F(x)?

### 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?

### Math

I have researched what a local extrema is and every definition is weird or worded to where i do not understand it. Can anyone explain what local extrema is.

### 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.

### Calculus

Locate the absolute extrema of the function on the closed interval f(x) = 2(3-x) [-1,2]

### 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)

### Calculus 1

Given y = x^4 − 4x^2 + 50. Find any extrema and any points of inflection

### Calculus

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

### Calculus HELP PLEASE!!!

Find all extrema for the function y=x^5-2x^3+3 on the interval [-10...10]

### Calculus HELP PLEASE!!!

Find all extrema for the function y=x^5-2x^3+3 on the interval [-10...10]

### calculus

How many integer values of a are there such that f(x)=x^+ax^2+8ax+25 has no local extrema?

### AP Calculus

Locate the absolute extrema of the function f(x)=2x^2-12x+4 on the closed interval [-6,6].

### 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]

### Calculus 1

Locate the absolute extrema of the function f(x)=Sinpix on the closed interval [1,1/3]

### Calculus

Find the value of the derivative of the function f(x)=7-|X| at the extrema point (0,7)? A. Does not exist B. 0 C. 7 D. -7

### Math- Calculus

Locate the absolute extrema of the function on the closed interval: y= 4/x+tan(pix/8), [1,2]

### Math

How many x-intercepts and how many local extrema does the polynomial P(x)= x(sqrt)3-4x have? How many x-intercepts and how many local extrema does the polynomial Q(x)=x^3-4x have? and If a>0, how many x-intercepts and how many local extrema does each of the polynomials P(x...