For this equation
3x2+y3+9=−2xy,
I checked on wolfram alpha and it doesn't seem to have an explicit form where y is isolated and equals a function of x's only.
The problem is that I don't understand why it can't be written explicitly, as the graph of the relation is a [non injective] function : it doesn't have more than one value of y for each value of x.
So I should be able to write it as any normal function where y=f(x) and its derivative with respect to x should be expressed with only x's instead of x's and y's - its derivative is : −2(3x+y)3y2+2x.
Please illuminate me, i'm really clueless.
No comments:
Post a Comment