Curve Sketching with Calculus (2 of 3: Finding Intercepts and Regions to assist Curve Sketching)

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Hello excellent video!!! now i understand better curve sketching. I have a question is it necessary to do the 2° derivative in orden to disimiss that (0, 0) or the stationary point itself are points of inflextion (because in the graph there is a concavity stablished)? or is there another way to tell they arent?

eliyale