Asked by Anonymous
A curve is defined by the equation x^2y^3+4x+2y=12. Find dy/dx in terms of x and y.
Answers
Answered by
Steve
x^2y^3+4x+2y=12
use the product rule as needed:
2x y^3 + 3x^2y^2 y' + 4 + 2y' = 0
y'(3x^2 y^2 + 2) = -2xy^3 - 4
y' is thus
-2(xy^3 + 2)
-------------
3x^2 y^2 + 2
use the product rule as needed:
2x y^3 + 3x^2y^2 y' + 4 + 2y' = 0
y'(3x^2 y^2 + 2) = -2xy^3 - 4
y' is thus
-2(xy^3 + 2)
-------------
3x^2 y^2 + 2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.