Asked by lori
use implicit differentiation to find an equation of the tangent line to the curve at the given point.
9x^2+xy+9y^2=19, (1,1) (ellipse)
9x^2+xy+9y^2=19, (1,1) (ellipse)
Answers
Answered by
Steve
18x + y + xy' + 18yy' = 0
y' = -(18x+y)/(x+18y)
at (1,1) y' = -1
so, the line is
y-1 = -(x-1)
y' = -(18x+y)/(x+18y)
at (1,1) y' = -1
so, the line is
y-1 = -(x-1)
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.