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# $3-4$ Use the level curves in the figure to predict the location of the critical points of $f$ and whether $f$ has a saddle point or a local maximum or minimum at e...

## Question

###### $3-4$ Use the level curves in the figure to predict the location of the critical points of $f$ and whether $f$ has a saddle point or a local maximum or minimum at each critical point. Explain your reasoning. Then use the Second Derivatives Test to confirm your predictions.$f(x, y)=3 x-x^{3}-2 y^{2}+y^{4}$

$3-4$ Use the level curves in the figure to predict the location of the critical points of $f$ and whether $f$ has a saddle point or a local maximum or minimum at each critical point. Explain your reasoning. Then use the Second Derivatives Test to confirm your predictions. $f(x, y)=3 x-x^{3}-2 y^{2}+y^{4}$

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