i have a problem for derivatives and it says :
x^3=y^3=y
is this a typo since there are 2 equal signs, or does it mean y is equal to x^3, so the derivative is 3x^2?
2006-10-09 07:04:06 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
well it just says:
find dy/dx if x^3=y^3=y.
2006-10-09 07:25:57 · update #1
could it be an implicit derivative? (like you have to take the derivative of y as a non x function?
2006-10-09 07:33:24 · update #2
It could be either. Equations can have 2 equal signs, but it's probably a typo.
2006-10-09 07:09:29 · answer #1 · answered by Math Geek 2 · 0⤊ 0⤋
Could it be that they mean x^3 = y^3 + y?
In that case,
3 x^2 dx = (3 y^2 + 1) dy
dy/dx = 3 x^2 / (3 y^2 + 1) = x^2 / (y^2 + 1/3)
Or, if they mean x^3 + y^3 = y,
3 x^2 dx = (1 - 3 y^2) dy
dy/dx = 3 x^2 / (1 - 3 y^2) = x^2 / (1/3 - y^2)
2006-10-09 15:10:44 · answer #2 · answered by dutch_prof 4 · 0⤊ 0⤋
It was some non-mathematical jerk at the publisher who created that mess. The author probably meant
Find dy/dx for x^3=y
Your suggested answer is correct.
Do you know computer programming? In a textbook I was writing I had "... the nested IF statement ..." in my manuscript.
The typesetter set it as "... the nexted IF statement ..."
The jerk proofreader at the publisher, not bothering to look at my manscript for the correction, "fixed" it to read "... the next IF statement ..." which is perfectly good English but not what I meant. Luckily, I caught it in my final proofing and "fixed" it back.
2006-10-09 14:31:40 · answer #3 · answered by ? 6 · 0⤊ 0⤋
Either it is a typo, or it is an attempt to represent two separate equations. The context of the expression may give a clue.
2006-10-09 14:09:44 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Logically, the only answers would be 1 for y and 1 or for x.
2006-10-09 14:08:22 · answer #5 · answered by Anonymous · 0⤊ 0⤋
the answer is 1
2006-10-09 14:33:13 · answer #6 · answered by dragon_maker123 2 · 0⤊ 0⤋
No equation has two equal signs.
2006-10-09 14:10:02 · answer #7 · answered by sly4life 2 · 0⤊ 1⤋
As it stands, it's not very meaningful--can you give the original problem statement? If you can do so, I'll get back to you...
2006-10-09 14:13:30 · answer #8 · answered by wingFoot 1 · 0⤊ 0⤋
Sorry Surveyor, but zero is a valid answer for x and y too....
2006-10-09 14:14:26 · answer #9 · answered by Andy FF1,2,CrTr,4,5,6,7,8,9,10 5 · 0⤊ 0⤋
3x^2=3y^2dy/dx=dy/dx when differentiated w.r.t x
2006-10-09 14:06:41 · answer #10 · answered by raj 7 · 0⤊ 0⤋