Posted by **Chelsea** on Thursday, October 28, 2010 at 9:36pm.

Find dy/dx by implicit differentiation.

y^5 + x^2y^3 = 1 + x^4y

So, first I find the derivative:

5y^4 + 2x3y^2 = 4x^3(1)

Now I find dy/dx:

But this is where I don't know what to do?

Please Help.

- Calc -
**Chelsea**, Thursday, October 28, 2010 at 9:52pm
Did I do the derivative part wrong?

Should it be:

5y^4 + (x^2 . 3y^2 + y^3 . 2x) = (x^4 . 1 + y . 4x^3)

- Calc -
**Reiny**, Thursday, October 28, 2010 at 9:52pm
you appear to be very very confused.

y^5 + (x^2)(y^3) = 1 + (x^4)(y)

remember you are finding dy/dx, so you are differentiating with respect to x

Which means that when you differentiate a y term you will have dy/dx tagging along

5y^4 dy/dx + (x^2)(3y^2)dy/dx + (y^3)(2x) = 0 + x^4 dy/dx + y(4x^3)

get all dy/dx terms to the left side

5y^4 dy/dx + 3x^2(y^2) dy/dx - x^4 dy/dx = 4y(x^3) - 2x(y^3)

dy/dx = (4y(x^3) - 2x(y^3)) / (5y^4 + 3x^2(y^2) - x^4 )

check my typing, easy to make an error with all those exponents

## 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 ...
- 12th Grade Calculus - Find d^2y/dx^2 by implicit differentiation. x^(1/3) + y^(...
- Math - Calculus Question. - hey can someone explain to me the relationship ...
- Calc - ex: Find the indicated derivative using implicit differentiation. e^x/y^2...
- Brief Calc - e^x y =3 find dy/dx using implicit differentiation the answer is -y...
- Calculus - 1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/...
- math - If cos(3 x)−4 x e^2 y=0, find [ dy/dx] using implicit differentiation...
- Calculus 1 - implicit differentiation - I do not understand implicit ...
- Calculus 1 - implicit differentiation - I do not understand implicit ...

More Related Questions