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(Solved): Find \( \frac{d y}{d x} \) by Implicit Differentiation: \[ x y+y^{2}=2 \] \[ \frac{-y}{x+2 y} \] \[ ...
![Find \( \frac{d y}{d x} \) by Implicit Differentiation:
\[
x y+y^{2}=2
\]
\[
\frac{-y}{x+2 y}
\]
\[
\frac{y}{x+2 y}
\]
\[
\be](https://media.cheggcdn.com/study/041/041e0792-d99d-405c-97a0-d3c55441970c/image)
Find \( \frac{d y}{d x} \) by Implicit Differentiation: \[ x y+y^{2}=2 \] \[ \frac{-y}{x+2 y} \] \[ \frac{y}{x+2 y} \] \[ \begin{array}{l} \frac{-3 y}{x} \\ \frac{-3 x}{y} \end{array} \]
We can always apply the second derivative test to find the local extrema values. True False