Скачать или смотреть Connecting Graphs in a DIFFERENTIABLE Way [Korean CSAT 1998]

This problem is from South Korean College Scholastic Ability Test (CSAT or Suneung), which is the test that South Korean high school seniors take in order to apply for the college. We have the graph of y = 1 on x＜0 and the graph of y = 0 on x＞1. We want to connect these two graphs so that the entire graph is DIFFERENTIABLE everywhere. The main claim of this problem is, we can totally do that by generating a CUBIC function on 0＜x＜1.

What about GENERAL case?:    • Connecting Graphs in a Differentiable Way,...  

#KoreanCSAT #differentiation #differentiable #DifferentiableFunctions #continuity #ContinuousFunction #continuous #CubicFunction #CSAT1998 #suneung

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