How do you use implicit differentiation to find the slope of the curve given #xy^2+x^2y=2# at (1,-2)?
2 Answers
Treat
Explanation:
Assuming the equation defines
This can be rearranged to
Plugging in the point
If it helps, conceptually-speaking, you could write
Since the original equation is quadratic in
See below
Explanation:
This particular equation will use the product and chain rule. When we differentiate implicitly, we use the idea of the chain rule when we differentiate
The
So from example:
Apply product and chain rule:
Plugging in our coordinates:
GRAPH: