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When does the second derivative test guarantee extrema for g(x,y,z)=ax²+2axz+by²-2byz+z²?
Under what conditions on the constants a and b does the second derivative test guarantee that the function g(x,y,z)=ax^2+2axz+by^2-2byz+z^2 has a local maximum at (0,0,0)? a local minimum at (0,0,0)? well, i used the Hessian matrix to compute the eigenvalues to set them above zero. but...- Zyuke
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- Derivative Second derivative Second derivative test Test
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- Forum: Calculus and Beyond Homework Help