Consider the curve with equation x2 + xy + y2 = 3.
(a) Find in terms of k, the gradient of the curve at the point (−1, k).
(b) Given that the tangent to the curve is parallel to the x-axis at this point, find the
value of k.

Related Precalculus Mathematics Homework Help News on Phys.org
Dick
Homework Helper

Consider the curve with equation x2 + xy + y2 = 3.
(a) Find in terms of k, the gradient of the curve at the point (−1, k).
(b) Given that the tangent to the curve is parallel to the x-axis at this point, find the
value of k.
I hope you aren't done posting yet. You are going to show an attempt at solving it, right?

I hope you aren't done posting yet. You are going to show an attempt at solving it, right?
yes, I have no idea how to do (a) but for b I tried substituting 1 and solve for y. I dont know if it is right
I am really confused when it asks for the slope

Thank you so much

P.S. You dont have to provide me with a solution, just some hint or help would be more than helpful.

Dick
Homework Helper

yes, I have no idea how to do (a) but for b I tried substituting 1 and solve for y. I dont know if it is right
I am really confused when it asks for the slope