Find the points on the lemniscate 2(x^2 + y^2)^2 = 25(x^2 - y^2) where the tangent is horizontal. The derivative using implicit differentiation is (-4x^3 - 4xy^2 + 25x)/(4x^3 + 4x^2 y + 25y)

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

leminscate is just the name of that particular type of curve but makes no difference

Where the tangent is horizontal, dy/dx=0
Just differentiate it and set the result equal to zero.

follow this !!
cims.nyu.edu/~kiryl/Calculus/.../Smith-implicit-differentiation.pdf

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.