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?

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?

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 …

May 1, 2015 · Make sure that your implementation returns the smallest such interval, one that does not suffer from the multiple references problem. Hint: the derivative f ′ (t) = 2at + b, and so the extreme …

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

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.

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 …

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 24, 2014 · If a continuous function has one relative extremum, then it is actually an absolute extremum Ask Question Asked 11 years, 1 month ago Modified 2 years ago

But x = 0 x = 0 is not an extremum - not even a local maximum of the function, despite the fact that it has a negative right-derivative. So why x = 0 x = 0 is not an extremum here? Does it imply that endpoint …