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Why the minimum of this multivariate polynomial is not a critical point?

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#systems-of-equations #maxima-minima
428
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Find the extreme values of the function

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#partial-derivative #maxima-minima #a.m.-g.m.-inequality
92
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Find the maximize of $\sum_{cyc}\frac{1}{x^2+y^2+1}$

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#algebra-precalculus #inequality #summation #maxima-minima #cauchy-schwarz-inequality
110
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What's the maximum value of $\frac{2}{a^2+1}-\frac{2}{b^2+1}+\frac{3}{c^2+1}$ given that: $abc+a+c=b$

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#inequality #optimization #quadratics #maxima-minima
127
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Find maximize and minimize of $P=x+y$

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#inequality #maxima-minima #a.m.-g.m.-inequality #karamata-inequality
52
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A question of minimising the expression.

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#triangles #maxima-minima #cauchy-schwarz-inequality #geometric-inequalities
84
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Maximum of absolute value difference

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#calculus #real-analysis #maxima-minima
11.7k
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Rectangular parallelepiped of greatest volume for a given surface area S

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#calculus #lagrange-multiplier #maxima-minima
6.5k
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Find extreme values of $xyz$ given that $x+y+z=a$

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#proof-verification #partial-derivative #maxima-minima
170
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Finding maximum of function

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#optimization #maxima-minima #bilinear-form #quadratic-programming #non-convex-optimization
153
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Determining which $\arg\max$ is larger

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#multivariable-calculus #optimization #maxima-minima
796
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Classifying critical points based on Hessian matrix values

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#optimization #maxima-minima #hessian-matrix
304
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Continuous function in a non-empty set

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#calculus #general-topology #functions #maxima-minima
147
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Find minimum possible values of the leading coefficient of quadratic equation

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#quadratics #maxima-minima #a.m.-g.m.-inequality
49
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Finding minima and maxima of a specific expression

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#maxima-minima #minimal-polynomials

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