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[잡담] 미분 질문
자연상수 2021.03.13 18:33 조회 565

얼마전에 미분이 뭔지 대강 배웠는데(정확하겐 상미분)

선생님께 "미분 어디다가 써요"했는데

순간의 속도를 구하기 쉽다고 하셨어요

y를 거리, x를 시간으로 두고

그래프를 그려서 함수로 표현하고 그 함수를 미분하면 x를 포함한 식이 나온다고 하셨는데

그게 왜 속도인지는 알겠는데

그 그래프를 함수로 표현 할 수 있으면

어짜피 순간의 기울기(기울기가 곧 속도니까)는 알 수 있지 않나요?

아니면 순간의 속도는 편미분으로만 구할 수 있나요?

(제 말은 그래프를 함수로 표현했을때 y = axb + c (a,b,c는 상수)꼴일 텐데 그러면 미분을 해도 x를 포함한 식이 나오고, 그러면 그냥 y = axb + c 식에다가 x를 대입하면 되지 않냐는 뜻입니다)

  •  
    Scubed Lv.7 2021.03.13 19:14

    순간의 기울기를 그래프만으로 알수 있다면 당신은 천재임이 틀림없습니다

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  •  
    Scubed Lv.7 2021.03.14 07:14

    아니죠 미분을 해야지만 그 접점에서의 순간의 기울기를 구할 수 있죠. 마지막 줄에 그냥 원래 식에다가 대입을 하는 것은 그냥 함숫값을 구하는 거랑 같잖아요.

    댓글 작성하기 좋아요0 댓글수1
    •  
      자연상수 Lv.5 2021.03.14 22:22

      함수로 x만 있으면 y를 구할 수 있고, 그러면 기울기는 구할 수 있잖아요

      @Scubed

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