How do you use implicit differentiation to find dy/dx given #x^2+3xy-y^2=0#?
2 Answers
Explanation:
so we have two solutions
This result can be obtained the usual way
now substituting
This result can be also obtained by observing that this is a homogeneous equation. Making
See below.
Explanation:
We consider
So we have
When we differentiate
Solve to get