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Difficult gradient problem

  • Thread starter don1231915
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  • #1
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Difficult gradient problem!!

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.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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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?
 
  • #3
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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

PLease help if you can!!

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.
 
  • #4
Dick
Science Advisor
Homework Helper
26,258
618


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

PLease help if you can!!

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.
Ok, here's a hint. Try using implicit differentiation to find the gradient dy/dx. You know about that, yes?
 
Last edited:

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