# 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...

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 typo

Is it

x-1, x+1

If you are in calc, you might want to consider some alternatives. This is pretty low level algebra. You are going to suffer with this lack of algebra understanding.

The roots of
2x(2x^2-1)=0
come from 2x=0 and 2x^2-1=0
or x=0 or x= +- sqrt (1/2)
Three roots.

Good luck.

The way that I did the problem was different than the way you did it. I had 4x(x^2-1) = 0

That is how I came up with the roots of x=0, x=1, x=-1

No. You cannot factor 4x^3-2x the way you did. The only common factor is 2x.

4x^3-2x = 2x(2x^2-1)

x^4-2x^2+5

Derivative = 4x^3-4x=0 when you factor you get 4x(x^2-1) = 0
Then you are left with x=0, x=1, x=-1.

I think you are given me the wrong answer.

1. 👍 0
2. 👎 0
3. 👁 52
1. he was starting from where you left off with your derivative. the first time you wrote "so far I know how to find the derivative which is

4x^3-2x now I am stuck...
that derivative is wrong. it is simply the one he used, hence the wrong answer.

1. 👍 0
2. 👎 0
posted by joey
2. 24X=260*(1.05^x/2)

1. 👍 0
2. 👎 0
posted by issashar

## Similar Questions

1. ### Calculus

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

asked by Alan on April 17, 2012
2. ### 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) = (, )

asked by Teetee on November 8, 2012
3. ### 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) = (, )

asked by Britney on November 8, 2012
4. ### 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) = ( , )

asked by Britney on October 31, 2012
5. ### 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) =

asked by Anonymous on June 18, 2013
6. ### 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

asked by Gabby on April 28, 2013
7. ### 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

asked by Gabby on April 28, 2013
8. ### 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!!

asked by Gabby on April 27, 2013
9. ### 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.

asked by Rudy on October 30, 2012
10. ### 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

asked by dee on March 9, 2007
11. ### Math

How would you fine the relative extrema of f(x)=x+8^-x ? I know the first step is to find the derivative, which when I did I got f'(x)=1+[(-1)(ln(8))(8^-x)] Did I find the derivative correctly? And if I did, how do I find the

asked by Jackie on April 14, 2015

More Similar Questions