differentiation

L.K.

d/dx x²抽指數落黎之後指數減1..
係唔係同1+1=2咁冇得解嫁...[[tk_35]][[tk_01]]

[ 本帖最後由 L.K. 於 22-12-2008 18:50 編輯 ]

[S]【YU】

你可以用first principle證一次.

Zend

refer yr pure bks , 要證哂all +ve , -ve and rational nu

。黑仔。

識d 咪算lo==
乜你仲咁好恆心研究架....

L.K.

咁sinΘ 果d點證.

Puppet

First principles.

Zend

用sum-to-product 的公式

你無學AMATHS, 即係唔使證

再唔係可以用Taylor Series.... -.-

卍拉帝亞斯卍

全部由first principles彈下彈下,,,轉下轉下..
搵到d方便又直接代的數..係咁d-.-...

[H]bunbunbunbun

first principle is examinable in CE amaths...

jackiema

for x^2:
Let f(x) = x^2
d/dx [f(x)] = (lim Δx-->0) [(x+Δx)^2 - (x)^2]/Δx
= (lim Δx-->0) 2xΔx + (Δx)^2/Δx
= (lim Δx-->0) 2x+Δx
= 2x

for sinθ, need to apply first principle, (lim Δθ-->0) (sinΔθ)/Δθ = 1, and use some trigo equations (ce a maths syllabus)

[ 本帖最後由 jackiema 於 7-12-2008 22:18 編輯 ]