Asked by Michael
X2 + Y4 = 16
find the slopes of the 2 tangent lines to the curve from (5,1)
find the slopes of the 2 tangent lines to the curve from (5,1)
Answers
Answered by
drwls
Are the 2 and 4 exponents?
Answered by
Michael
Yes, sorry about that.
Answered by
drwls
Require that
Y^4 = 16 - X^2
and also require a tangency condition that
(Y-1)/(X-5) = dY/dX
Implict differentiation results in
4Y^2 dY/dX = -2X
dY/dX = -X/(2Y^2)
Therefore
(Y-1)/(X-5) = -X/(2Y^2)
You now have two equations in two unknowns, X and Y. That should allow to solve for any (X,Y) solutions
Y^4 = 16 - X^2
and also require a tangency condition that
(Y-1)/(X-5) = dY/dX
Implict differentiation results in
4Y^2 dY/dX = -2X
dY/dX = -X/(2Y^2)
Therefore
(Y-1)/(X-5) = -X/(2Y^2)
You now have two equations in two unknowns, X and Y. That should allow to solve for any (X,Y) solutions
Answered by
Michael
Thanks.
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