Math Help - Derivative Help!

1. Derivative Help!

Differenciate this function:

$y = ((1+x^1^/^2)/(x^2^/^3))^3$

I got :

$- ((1+x^1^/^2)^2(4+x^1^/^2)))/(2x^3)$

Thanks

Edit: Just fixed the problem, wrote it down incorrectly

3. Hmm, I wrote out like 7 lines with tons of exponents... I'll take a pic and upload it, probably faster. Hold up just a sec.

4. Originally Posted by Shout
Differenciate this function:

$y = ((x+2)/(x^1^/^3))^3$

I got :

$- ((1+x^1^/^2)^2(4+x^1^/^2)))/(2x^3)$

Thanks
Use algebra first

$\displaystyle\left(\frac{x+2}{x^{1/3}}\right)^3=\frac{(x+2)^3}{(x^{1/3})^3}=\frac{(x+2)^3}{x}$

5. Just realized I wrote the question down wrong, my bad

$y=\left(\dfrac{1+\sqrt{x}}{\sqrt[3]{x^{2}}}\right)^{3}.$

Is that correct? And you're to differentiate this function, right?

7. Sorry =/, I took it and uploaded it to tinypic ( http://i56.tinypic.com/14t1wdw.jpg ).

Yep thats correct

8. Well, I would still follow dwsmith's advice and simplify first. What does that give you? (You can double-click on my LaTeX output to find out how to type in math. You need to use [tex] and [/ math] delimiters to get math to show up (although the closing one there should not have a space between the / and the math)).

9. That gives me :

$y = (1 + x^1^/^2)^3(x^2)^-^1$

Then I used the product rule/power of a function rule

10. Ok, so far so good. Then what do you get next?