Write the tangent lines to the curve

  • Thread starter Jpyhsics
  • Start date
  • #1
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Homework Statement


Write the equations of tangent lines to the curve of the implicit function x2+2x+2y2-4y=5
that are normal to the line y=x+12


2. The attempt at a solution
I know that the slope has to be m=-1
I found the derivative using implicit differentiation:
dy/dx=(-2x-2)/(4y-4)

Now I am unsure how to find the points, please help it is due tomorrow.
 

Answers and Replies

  • #2
FactChecker
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The derivative must equal -1. That should give you an equation that you can solve for y in terms of x. You can replace y in your original function equation and solve it for x.
 

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