Posted by **Cupcake** on Tuesday, April 1, 2008 at 1:26pm.

I do not understand implicit differentiation. One of the problems are: find y' by implicit differentiation xy+2x+3x^2=4.

I would appreciate any help that can be offered.

- Calculus 1 - implicit differentiation -
**drwls**, Tuesday, April 1, 2008 at 1:38pm
Just differtiate each term with respect to x, remembering that y is a function of x. You often end up with an expression for y' that involves both x and y, but is is a valid equation. You may have to evaluate y before you can calculate y'. Here is what you get:

x*dy/dx + y + 2 + 6x = 0

dy/dx = -(y + 2 + 6x)/x

= -(y+2)/x -6

- Calculus 1 - implicit differentiation -
**Cupcake**, Tuesday, April 1, 2008 at 2:28pm
thank you

## Answer this Question

## Related Questions

- Calculus 1 - implicit differentiation - I do not understand implicit ...
- Implicit differentiation calculus - PLEASE HELP , I DON'T UNDERSTAND find dy/dx ...
- Calculus: implicit differentiation - Find dy/dx by implicit differentiation 1. x...
- Math - Calculus Question. - hey can someone explain to me the relationship ...
- Calculus - How do you use imlicit differentiation to differentiate e^(xy)? I ...
- Calculus [Implicit Differentiation] - If √x+√y=10 and y(16)=36, find...
- calculus - Given y^4 -x^4=16 find and simplify d2y/dx2 using implicit ...
- Calculus 1 Implicit differentiation - Help please help me understand what i am ...
- Implicit (calculus) - Can someone explain implicit differentiation to me like I ...
- Implicit Differentiation - Use implicit differentiation to find the slope of the...