Asked by Aisha
(x-y)/(4x+3y)=6x find dy/dx by implicit differentiation.
Answers
Answered by
Reiny
I would first expand
(x-y)/(4x+3y)=6x
x-y = 24x^2 + 18xy
1 - dy/dx = 48x + 18xdy/dx + 18y
1 - 48x - 18y = dy/dx(18x + 1)
dy/dx = (1 - 48x - 18y)/(18x - 1)
(x-y)/(4x+3y)=6x
x-y = 24x^2 + 18xy
1 - dy/dx = 48x + 18xdy/dx + 18y
1 - 48x - 18y = dy/dx(18x + 1)
dy/dx = (1 - 48x - 18y)/(18x - 1)
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