Question

just wondering how to proceed with this problem.

Answer 1

Use the appropriate rule or combination of rules to find the derivative of the function defined below.
y=\[(16x-4)\sqrt{8x-2}\]

Answer 2

i know i have to use my product rule,
when i do that i get: (16x-4)(1/2)(8x-2)^-1/2 + (8x-2)^1/2 *16

Answer 3

u forgot chain rule for (8x-2)

Answer 4

oh times 8 in there lol. i had that wrote down, lol just forgot to type it.

Answer 5

then u are correct

Answer 6

okay so that i got:
\[\frac{ 4(16x-4) }{ \sqrt{8x-2} }+16\sqrt{8x-2}\]

Answer 7

absolutely correct!

Answer 8

would i take my 4 out of the numerator so i got 16(4x-1) ?

Answer 9

thats not much of a simplification, but u can !

Answer 10

is tehre a way to further simplify this> my answer isn't matching any of the answers on my assingment (this one is a multiple choice)

Answer 11

what are the options ?
u can factor out 16 from both the terms..

Answer 12

a) 16- 4/squrt8x-2

B)16(squrt8x-2)+32 times 16x-4/squrt8x-2

c)16-16/squrt8x-2

d)64/squrt8x-2

e)32*2^1/2*x^1/2 -16*2^1/2+(16-4x)/squrt8x-2

f)8*csgn(4x-1)*2^1/2

g)16*squrt8x-2+4(16x-4/squrt8x-2)

h)8(16x-4)(squrt8x-2)

Answer 13

ohh, u can cross-multiply to get the common denominator as \(\sqrt{}8x-2\)

Answer 14

so then i have\[4(16x-4)+16\sqrt{8x-2}(\sqrt{8x-2})\]

Answer 15

??

Answer 16

which is?
\(\sqrt{8x-2}\sqrt{8x-2}=8x-2\)

Answer 17

i had 320x-16 as my numerator but that's not there as an answer either.

Answer 18

is the answer c?

Answer 19

checking, wait..your c option is weird...16-16=0

Answer 20

\[16-\frac{ 16 }{ \sqrt{8x-2} }\]

Answer 21

that's what it actually is, it's a little weird when i wrote it the other way lol..

Answer 22

so is that right tho?

Answer 23

My answer's the denom. cancel out!
However the way your post the option too complicated to read !!!

Answer 24

how did your answer look? i can re-write them out.

Answer 25

\[a) 16-\frac{ 4 }{ \sqrt{8x-2} }\]

Answer 26

= 24 √ ( 8x -1)

Answer 27

\[b) 16\sqrt{8x-2}+32*\frac{ 16x-4 }{ \sqrt{8x-2} }\]

Answer 28

\[c)16-\frac{ 16 }{ 8x-2 }\]

Answer 29

\[d)\frac{ 64 }{ \sqrt{8x-2} }\]

Answer 30

\[e) 32*2^{\frac{ 1 }{ 2 }}*x^\frac{ 1 }{ 2 }-16*2^\frac{ 1 }{ 2 }+(16x-4)*\frac{ 2^\frac{ 1 }{ 2 } }{ x \frac{ 1 }{ 2 } }\]

Answer 31

\[f)8*csgn(4x-1)*2^\frac{ 1 }{ 2 }\]

Answer 32

are you sure?

Answer 33

\[g)16\sqrt{8x-2}+4\frac{ 16-4x }{ \sqrt{8x-2}}\]

Answer 34

no idea hah.

Answer 35

\[h)8(16-4x)(\sqrt{8x-2}\]

Answer 36

isn't g) option the same thing what we got ?

Answer 37

omg.. look at that.

Answer 38

hhaha so it is!!!

Answer 39

if you wanna check out my lastest/last question that would be great!

Answer 40

So it turns out that there's no need to simplified =)

Answer 41

i had the right answer all along haha.

Answer 42

http://openstudy.com/study#/updates/50902c28e4b043900ad9134d

please : )