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twistoffate2099
Lv 4
Implicit Differentiation?
A. For x^2-4xy+3y^2=35
Find Y' using Implicit Differentiation
B.Find the equation of the line (general form) tangent to curve at (4,-1)
Thanks
1 Answer
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- ferozesoLv 71 decade agoFavorite Answer
A.
2x - 4xY' - 4y + 6yY' = 0
Y'(6y - 4x) = 4y - 2x
Y'(3y - 2x) = 2y - x
Y' = (2y - x) / (3y - 2x)
B.
At (4,-1), Y' = 6/11
y + 1 = (6/11)(x - 4)
11y + 11 = 6x - 24
11y - 6x +35 = 0.
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