範例 09:直接求sin(x)的導函數  
 

從幾何上如何找到sin(x)的微分呢?

 
  《 解答 》  
 

直接求

把θ變動△θ,sinθ從 變到 ,我們要了解 與△θ之比,△θ是一小段弦長,是斜線區域這個近似直角三角形的斜邊,此 與△θ之比之比可以想成是 cosθ

 
 
 
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