Question

Find the equation of the line tangent to y^2(y^2-4)=x^2(x^2-5) using Implicit Differentiation

Answer 1

\[(y^2)'=2 y y'\]
\[(y^2-4)'=2yy'-0=2yy'\]
\[(x^2)'=2x\]
\[(x^2-5)'=2x-0=2x\]
recall the product rule
\[(fg)'=f'g+fg'\]

Answer 2

Thanks sooo very much!