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>from our curve we can see... Just use Rolle's theorem. If you took calculus, you learned Rolle's theorem.

• gus_massa 3y ago
  It means: fake quote> Anyone that took a Calculus course knows how to analyze this function and get the minimum, maximum and increasing and decreasing intervals. The calculation is unsurprising and boring, so I will skip it and use a graph instead. fake quote> Anyone that didn't take a Calculus course will not understand the technical details. The calculation is long enough to be distracting and boring, so I will skip it and use a graph instead. Unless the main public of the blog are students from the first year of the university, I agree with the author that it's better to use a graph and left the calculations as an exercise. [Perhaps the analytical calculation could have been a note at the bottom, but it's long and unsurprising enough to be boring to write it clearly and carefully. Just left it as an exercise :) .]