# derivatives

• Jan 24th 2006, 05:15 AM
ineedhelp123
derivatives
find the derivative.

#1.)

f(x) = (3x+1)^3/(x)^6

#2.)

f(x) = 1/2x+sin^3x

..if someone could help me out Fast! id really appreciate it. thanks
• Jan 24th 2006, 06:57 AM
jacs
Here is the first one, using the quotient rule

$\displaystyle y' = \frac{vu' - uv'}{v^2}$

where
$\displaystyle y = \frac{u}{v}$
• Jan 24th 2006, 07:18 AM
jacs
Quote:

Originally Posted by ineedhelp123
find the derivative.

#2.)

f(x) = 1/2x+sin^3x

..if someone could help me out Fast! id really appreciate it. thanks

I am assuming you meant this

$\displaystyle y = \frac{1}{2x+sin^3 x}$

hope that helps

jacs

ps. sorry about crappy handwriting hope you can read, not confident enough in laTex yet
• Jan 24th 2006, 12:54 PM
ineedhelp123
thanks!
Quote:

Originally Posted by jacs
I am assuming you meant this

$\displaystyle y = \frac{1}{2x+sin^3 x}$

hope that helps

jacs

ps. sorry about crappy handwriting hope you can read, not confident enough in laTex yet

thanks sooo much for all your help! it all makes sense now. i really appreciate it. thanks! :)
• Jan 24th 2006, 02:38 PM
jacs
you are welcome