Posted by **ifi** on Monday, December 10, 2012 at 3:13am.

use implicit differentiation to find dy/dx and then d^2y/dx^2.

y^2=ye^x^2+2x

ans for dy/dx= [2(xye^x^2 + 1)]/(2y-e^x^2)

after that i don't know how to proceed. can someone show me the steps(x need for calculation) and final answer. i try to use wolfram but it give me a weird ans( maybe i don't know how to input this formula).

- math -
**Steve**, Monday, December 10, 2012 at 12:05pm
It's nasty, but you gotta use the quotient rule, substituting in y' as needed:

y'' =

[[(ye^x^2 + xy'e^x^2 + xy(2xe^x^2))(2y-e^x^2)]

- [(xye^x^2 + 1)(2y' - 2xe^x^2)]]

/ (2y-e^x^2)^2

EEEK! After substituting in for y', it's nasty.

Glad it's not MY homework!

## Answer This Question

## Related Questions

- Calculus - How do you use imlicit differentiation to differentiate e^(xy)? I ...
- Math - Calculus Question. - hey can someone explain to me the relationship ...
- Calculus 1 - implicit differentiation - I do not understand implicit ...
- Calculus 1 - implicit differentiation - I do not understand implicit ...
- Calc - sinx+x^2y=1 use implicit differentiation to find the second derivative. ...
- Calculus - Find dy/dx by implicit differentiation. x^3 - 3x^2y + 2xy^2 =12 ...
- Implicit Differentiation - Use implicit differentiation to find the slope of the...
- Calculus...URGENT..show steps please - Use implicit differentiation to find the ...
- Math (Implicit Differention) - use implicit differentiation to find the slope of...
- Implicit differentiation calculus - PLEASE HELP , I DON'T UNDERSTAND find dy/dx ...

More Related Questions