Differentiating Implicit Equations

If

Code:

`sin^4(\[Alpha])/x+cos^4(\[Alpha])/y-1/(x+y)==0`

^^^^(it looked fine in mathematica...can someone tell me how to write code in this forum?)

then what is *here [alpha] is a constant*

well i figured out dy/dx and it came out to be but the book says ,which is a constant. Does this mean the above line represents a straight line??Mathematica plotted a pair of lines(i guess) and i cannot ask mathematica to find(if its possible to find (dy/dx) from implicit equations in mathematica then tell me!)

Thanks!

Re: Differentiating Implicit Equations

Hello, smatik!

I don't understand your equation.

A few SPACES would be welcome.

Quote:

sin^4(\[Alpha])/x+cos^4(\[Alpha])/y-1/(x+y)==0

You seem to have: .

I see several interpretations for this . . .

. .

. .

. . and so on.

Re: Differentiating Implicit Equations

The first one is it!!!! How to write like you did in this forum??

Re: Differentiating Implicit Equations

If you hover your mouse over a math expression rendered in latex on this forum you can see the latex code for that expression.

To render the code, surround your code in [tex][/tex] tags, for example:

[tex]\frac{2}{3\cos\alpha}[/tex] gives:

Re: Differentiating Implicit Equations

Thanks.I meant this this.....

Re: Differentiating Implicit Equations

About the dy/dx thing. I haven't actually checked, but I believe that the Mathematica uses the form "d/dx(...)" for derivatives. Technically speaking this is probably a partial derivative.

-Dan

Re: Differentiating Implicit Equations

Hello, smatik!

Since is a constant,

. . let:

We have: .

Then: .

. . . . .

Multiply by

. .

. . . .

. . . .

. . . . . . . . . . .

. . . . . . . . . . .