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Find dy/dx by implicit differentiation. x2 − 8xy + y2 = 8
4 months ago
Q:
Find dy/dx by implicit differentiation. x2 − 8xy + y2 = 8
Accepted Solution
A:
we have that
x² − 8xy + y² = 8
2x-8y-8x(dy/dx)+2y*(dy/dx)=0
8x(dy/dx)-2y*(dy/dx)=2x-8y
[8x-2y]*(dy/dx)=2x-8y
(dy/dx)=[2x-8y]/[8x-2y]
(dy/dx)=2*[x-4y]/2*[4x-y]
(dy/dx)=[x-4y]/[4x-y]
the answer is
(dy/dx)=[x-4y]/[4x-y]