Jul 31, 2013 · In calculus extremum is a common topic, but I don't understand what it is. What is the use of this extremum, especially in practical life?

Now an extremum is strong if it satisfies the 0. order neighborhod definition and weak if it satisfies the second definition. My text then goes on saying Clearly every strong relative extremum is a weak …

Apr 3, 2019 · What is the difference between a point of inflection and a saddle point? What is the difference between an extremum and a stationary point?

May 1, 2015 · derivate is 0 mean slope is zero. I am student of gilbert_strang ): Derivate is used for continuos (varying slope) functions average is used for constant slope functions.avergae mean y2 …

Jan 21, 2024 · A local extremum is a local minimum or maximum. A global extremum is a global minimum or maximum. Without a qualifier, what is meant is generally the global one. For any …

Finding extremum values in a given function using hessian matrix Ask Question Asked 12 years ago Modified 8 years, 9 months ago

Jan 9, 2014 · This is an extremum. Now, consider that x1=x0-h and x2=x0+h. What is f (x0)-f (x1) or what is f (x2)-f (x0) ? By defintion, it correpond to h times the derivative. So to fulfill the condition of …

Further to @angryavian 's answer, I would like to clarify the meaning of critical points and relative extrema: 1) Stationary points are a subset of critical points, which may not be differentiable; 2) Such …

Nov 17, 2024 · 16 Thomas calculus suggests that local extrema might occur at the critical points and the endpoints of a continuous function on a closed interval. Are there cases where endpoints of a …

Have you tried proving that the single local extremum has to be a global one? Your condition on the extremum should include a higher-order derivative with non-zero value. Then the only option would …