Use implicit differentiation to find an equation of the tangent line to the curve:
5x^2 + 7xy − y^2 = 7
help please!!!

Question

Use implicit differentiation to find an equation of the tangent line to the curve:
5x^2 + 7xy − y^2 = 7
help please!!!

anonymous · Answer

I am just going to rewrite the equation for both our benefits to read it better

$$5x^2 + 7xy - y^2 = 7$$

Ok now we need to take the derivative all way across and tag any derivative involving the y-variable with dy/dx. Does that make sense?

zepdrix · Answer

Hey Ann c: Welcome to OpenStudy!

anonymous · Answer

yes, thank you very much :)

anonymous · Answer

Should I keep helping you or do you have it now?

anonymous · Answer

Yes, i have it now.

anonymous · Answer

Ok you also know how to find tangent lines from a derivative? I assume you were given a point to plug in?

anonymous · Answer

I do, but I was not given points to plug in. I just need to take derivative

anonymous · Answer

ah so your tangent line will basically be y - y1 = (your derivative)(x - x1) usually with these problems you are given a point

anonymous · Answer

Now I understand how to do, thank you.

anonymous · Answer

No problem!