Posted by **Liz** on Tuesday, December 14, 2010 at 10:15pm.

Find d^2y/dx^2 by implicit differentiation.

x^(1/3) + y^(1/3) = 4

I know that first you must find the 1st derivative & for y prime I got 1/3x^(-2/3) + 1/3y^(-2/3) dy/dx = 0

Then for dy/dx I got

dy/dx = [-1/3x^(-2/3)] / [1/3y^(-2/3)]

I think that from here I would use the quotient rule to find the second derivative?

## Answer this Question

## Related Questions

- calculus - Given y^4 -x^4=16 find and simplify d2y/dx2 using implicit ...
- Calculus Help STEVE - find y'' by implicit differentiation. 2x^3 + 3y^3 = 8 I ...
- calculus - Alright so implicit differentiation is just not working out for me. ...
- Calculus 1 - implicit differentiation - I do not understand implicit ...
- Calculus 1 - implicit differentiation - I do not understand implicit ...
- Math - Calculus Question. - hey can someone explain to me the relationship ...
- 12th AP Calculus - use implicit differentiation to find dy/dx and then d^2y/dx^2...
- Calculus - 1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/...
- Calculus - Let me try to ask this question a different way: 4x^2+2x+xy=12 and y(...
- calculus; implicit differentiation - Use implicit differentiation to find the ...