Ptt 大爆卦 | dy/dx定義 - 前往 https://ocw.nthu.edu.tw/ocw/upload/7/news/L13_3.4%20The%20derivative%20as%20a%20rate%20of%20change%20(%E8%A6%96%E5%BE%AE%E5%88%86%E7%82%BA%E8%AE%8A%E5%8C%96%E7%8E%87)3.5%20Chain%20rule%20(%E9%80%A3%E9%8E%96%E5%BE%8B)3.6%20Differentiaing%20the%20trigonometric%20functions%20(%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B8%E7%9A%84%E5%BE%AE%E5%88%86)3.7%20Implicit%20differentiation%20rational%20powers%20(%E9%9A%B1%E5%87%BD%E6%95%B8%E7%9A%84%E5%BE%AE%E5%88%86%E6%96%B9%E5%BC%8F%E6%9C%89%E7%90%86%E6%95%B8%E7%9A%84%E6%AC%A1%E6%96%B9).pdf

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並前往https://ocw.nthu.edu.tw/ocw/upload/7/news/L13_3.4%20The%20derivative%20as%20a%20rate%20of%20change%20(%E8%A6%96%E5%BE%AE%E5%88%86%E7%82%BA%E8%AE%8A%E5%8C%96%E7%8E%87)3.5%20Chain%20rule%20(%E9%80%A3%E9%8E%96%E5%BE%8B)3.6%20Differentiaing%20the%20trigonometric%20functions%20(%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B8%E7%9A%84%E5%BE%AE%E5%88%86)3.7%20Implicit%20differentiation%20rational%20powers%20(%E9%9A%B1%E5%87%BD%E6%95%B8%E7%9A%84%E5%BE%AE%E5%88%86%E6%96%B9%E5%BC%8F%E6%9C%89%E7%90%86%E6%95%B8%E7%9A%84%E6%AC%A1%E6%96%B9).pdf

f(x)]/h Δy =lim(Δ→0)Δy/Δx=瞬間變化率of f at x

pf:dy/dx=dy/du⋅du/dx=[(u+1)-(u-1)]/(u+1)^2⋅2x=4x/(u+1)^2=4x/(x^2+1)^2. ○2 ... 定義在cosx 不為零的地方. =(cos2x+sin2x)/cos2x=sec2x eg. ○1 [(1-secx)/tanx ...

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