Determine if the Rolles theorem can be applied. If it applies find "c" such that f(x)=(x-2)(x+3)^2, [-3,2]

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- Apr 1st 2010, 06:33 AMsderosa518Rolles Theorem
Determine if the Rolles theorem can be applied. If it applies find "c" such that f(x)=(x-2)(x+3)^2, [-3,2]

- Apr 1st 2010, 06:37 AMTed
f is differentiable and continuous since its a polynomial function

and $\displaystyle f(-3)=f(2)$

so the rolle's theorem can be applied here

I do not know what do you mean with:

I think you mean find "c" that satisfies the rolle's theorem, right? - Apr 1st 2010, 06:45 AMsderosa518
Yes!!!

- Apr 1st 2010, 06:56 AMTed
- Apr 1st 2010, 07:20 AMsderosa518
This is what I got. I use the product rule to solve.

3x^2+8x-3

Not sure if I am right or not - Apr 1st 2010, 07:44 AMTed
- Apr 1st 2010, 07:52 AMsderosa518
Any hint on how to solve it?

Should I factor a 3 out or factoriztion (x-1)(x+1)

or just simply solve for zero - Apr 1st 2010, 08:27 AMTed
- Apr 1st 2010, 09:21 AMsderosa518
finale answer is 2, -14/3

Correct??? - Apr 1st 2010, 09:26 AMTed
wrong

you should get -3 and 1/3 - Apr 1st 2010, 10:15 AMsderosa518
Curious how did you get?

I use the quadratic formula!!! - Apr 1st 2010, 10:26 AMTed
- Apr 1st 2010, 10:34 AMsderosa518
F(x)= 3x^2+8x-3

-8 -+Sqrt(8^2-4(3)(-3))

------------------------

2(3)

-8 +-sqrt(100)

--------------

6

-8+-10

------- = 2, -14/3

6

Do you see where I got my answer. When you or if you show mean, I am going to feel stupid!??! - Apr 1st 2010, 11:24 AMTed
- Apr 1st 2010, 11:43 AMsderosa518
Silly mistake. I appreciate your help and your motivation towards me and my work.

Regards(Clapping)