Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get...Asked by Katie
Using 4x^2 - 9y^2 = 36
Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
Answers
Answered by
Reiny
I am sure you wanted y'
8x - 18y dy/dx = 0
-18y dy/dx = -8x
dy/dx = 8x/(18y) = 4x/(9y)
-9y^2 = 36 - 4x^2
y^2 = (4x^2 - 36)/9
y = (4x^2 - 36)^(1/2) /3
dy/dx = (1/6) (4x^2 - 36)^(-1/2) (8x)
= (4/3)(x)(4x^2 - 36)^(-1/2)
8x - 18y dy/dx = 0
-18y dy/dx = -8x
dy/dx = 8x/(18y) = 4x/(9y)
-9y^2 = 36 - 4x^2
y^2 = (4x^2 - 36)/9
y = (4x^2 - 36)^(1/2) /3
dy/dx = (1/6) (4x^2 - 36)^(-1/2) (8x)
= (4/3)(x)(4x^2 - 36)^(-1/2)
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.