Question

FInd the interval on which the function is increasing or decreasing

Answer 1

\[f(x)=(x+1)^5-5x-2\]

Answer 2

\[f'x=5(x+1)^4-5\]

Answer 3

i'd help but im to stupid

Answer 4

lol same here

Answer 5

im lucky i havent failed a grade

Answer 6

i got it!

Answer 7

\[(x+1)^4=1\]

Answer 8

good soooo orry i couldnt help

Answer 9

\[(x+1)^2=1 or -1\]

Answer 10

how would it be -1?

Answer 11

:D

Answer 12

hmm im actually trying to figure that out ZEP! :)

Answer 13

Hmm so you found the derivative I see :D

Answer 14

when i reduce the exponent by a factor of 2 it somehow leaves -1 and 1

Answer 15

Critical points tell us where the FUNCTION changes from increasing to decreasing.
So, hmmmmmm :D Were you able to find those ok?

Answer 16

then i can square both sides, and get

Answer 17

\[x+1=\pm1\]

Answer 18

sqrt both sides

Answer 19

x=0 and x = -2

Answer 20

Hmm yah that looks right I think :D
So let's see.. hmm

Answer 21

then i set up my nifty table

Answer 22

Oh you do table in your class? :) ok cool, im used to doing it with a number line, but whatever works for u ^^

Answer 23

inc(-inf,-2)(0,inf)
dec(-2,0)

Answer 24

Hmm yah sounds right! :) gj!