Question

find local maximum

Answer 1

of?

Answer 2

\[((x+4)(x-3)^2)/((x^4)(x-1))\]

Answer 3

I looked down

Answer 4

oh wow.. that is such a messy problem. Do u wanna do it dhatraditya?

Answer 5

no, go ahead, by all means. i'm too lazy :D

Answer 6

i got two of them already but there is one more maximum and i keep getting it wrong

Answer 7

\[f(x) = \frac{(x+4)(x-3)^2}{x^4(x-1)}\]

Answer 8

okay kehara mind posting the derivative?

Answer 9

you gotta be kidding right?

Answer 10

Okay ill use wolf to differentiate..

Answer 11

lol!

Answer 12

http://www.wolframalpha.com/input/?i=Differentiate+%28%28x%2B4%29%28x%E2%88%923%29+%5E2%29%2F%28%28+x%5E+4%29%28x%E2%88%921%29%29
HOLY MOLY!

Answer 13

yeah fine do that. you will get a 4th degree poly in the numerator. how are you going to find the zeros?

Answer 14

oh look! it says x = 3 is a zero. fine. you are done. don't ask how you were supposed to find it though

Answer 15

i'm guessing 1 is a zero

Answer 16

use wolf again..

Answer 17

nope

Answer 18

Holy moly is right. Now u got me thinking... what's a moly?

Answer 19

the zeros are: -5.6, 0.82, and 5.2

Answer 20

no it isn't my bad.

Answer 21

oh and there is another zero too! look at that expression on the very bottom

Answer 22

test x=1 and x=0 as well

Answer 23

not according to wolf. it lists the zeros for you. two real, two complex. real is 3 and that other godawful number at the very bottom of the list

Answer 24

Using mathematica (calculating first 10 digits)
{{x -> 3.000000000},

{x ->
5.249021860 + 0.*10^-10 I},

{x -> -5.569911155 +
0.*10^-10 I},

{x -> 0.8208892954 + 0.*10^-11 I}}

Looks like the imaginary parts are really just 0