Posted by **Ivan** on Sunday, November 28, 2010 at 10:18am.

2y^3-y=7-x^4 find dy/dx using differentiating implicity

- calculus4 -
**Reiny**, Sunday, November 28, 2010 at 10:41am
6y^2 dy/dx - dy/dx = 0 - 4x^3 dx/dx

notice I wrote down dx/dx even though it has a value of 1, and i wouldn't have to include it.

Since you are differentiating with respect to x, whenever you work on a purely x-term, the dx/dx does not have to be written.

BUT, whenever you are differentiating a variable other than x, d(?)/dx has to be included.

so..

6y^2 dy/dx - dy/dx = 0 - 4x^3 dx/dx

dy/dx(6y^2 - 1) = -4x^3

dy/dx = -4x^3/(6y^2 - 1)

## Answer This Question

## Related Questions

- calculus5 - (y^2+2)^3=x^4y+e^2 find dy/dx using differentiating implicity
- calculus3 - x^2/3+y^2/3=5 find dy/dx using differentiating implicity
- calculus2 - x^2+2y^2-11=0 find dy/dx using differentiating implicity
- calculus1 - x^5-5y=6-x find dy/dx using differentiating implicity
- Calculus - 6x-3y=4 find dy/dx using differentiating implicity
- Implicity - Find dy/dx implicitly in terms of x and y only for the following ...
- Calculus - Integrate x dx/(1-x). I have proceeded thus- Int xdx/(1-x)=int -(x-1+...
- Math - Find the general antiderivative of f (x) and check your answer by ...
- Calculus - Find the derivative of the function y, below. It may be to your ...
- Calculus - Find the derivative of f. you may simplify before differentiating f(x...

More Related Questions