Differentiation 02
圖片參考：http://i204.photobucket.com/albums/bb175/EddieOR/2011121405.png
Differentiation 02
2011-12-15 5:14 am
回答 (1)
2011-12-15 5:28 am
✔ 最佳答案
y = 5u^3, u = √(w + 3) and w = x^2 - 4dy/dx = dy/du * du/dw * dw/dx (by chain rule)
= 15u^2 * 1/2√(w+3) * 1 * 2x
= 15[√(w + 3)]^2 * 1/2√(x^2 - 4 + 3) * 2x
= 15(x^2 - 4 + 3) * x/√(x^2 - 1)
= 15(x^2 - 1) * x/√(x^2 - 1)
= 15x√(x^2 - 1)
參考: Knowledge is power.
收錄日期: 2021-04-23 18:31:25
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20111214000051KK00772