woundedtiger40 3 years ago what is the difference between dy/dx & ∂y/∂x aren't both same?

1. No-data

I have the same doubt

2. Rohangrr
3. woundedtiger40

both d ∂ symbol work same in differentiation but then why sometimes in text d is used & sometimes ∂

4. No-data

I read that dx is for exact differential and the other one for inexact differentials.

5. arcticf0x

dy/dx is the differentiation of y wrt x, while del y/del x is the partial derivative of y wrt x keeping all other variables constant.

6. woundedtiger40

so ∂ is part of multivariable calc & d is a part of single variable calc? am i right? @arcticf0x

7. arcticf0x

Yes

8. No-data

But that means that dy/dx is a special case of the other no, and that is not the case.

9. .Sam.

DIfferent

10. lgbasallote

isnt the curved d used for partial derivatives?

11. woundedtiger40

@arcticf0x yeah you are right because I first encountered with ∂ in calc3 (multi) whereas in calc1&2 only used d

12. arcticf0x

Yeah, check this out too http://en.wikipedia.org/wiki/Partial_derivative

13. woundedtiger40

thanx @arcticf0x

14. No-data

I read that a little amount of work must be represented with this $\partial W$ and not $dW$ but I still don't get the reasong.

15. .Sam.

lets say x^2-2y=2 If you take dy/dx, using implicit differentiation, $2x-2\frac{dy}{dx}=0$ $\frac{dy}{dx}=x$ --------------------------------------------- ∂y/∂x,= 2x-0=0 ∂y/∂x,= 2x