Download presentation
Presentation is loading. Please wait.
Published by券希 封 Modified 8年之前
1
Differentiation 微分 之二 以公式法求函數的微分
2
Type 函數形式 Function f (x) Derivative d f (x) /d x c=constant 常數 c0 Power of x xaxa a x a-1 Trigonometric 三角函數 sin x cos x sin x tan x sec 2 x Logarithmic 對數函數 ln x 1/ x Exponential 指數函數 exex exex 基本函數的微分公式
3
Example 4.9 1) y= x 5 2) f(x) = x -1/2 3) f(x) = x 0.3 Power of x f(x)=x a d f(x)/dx= a x a-1
4
Exercises differentiate by rule 由公式求微分 23. y= x 3 24. x 4/5 25. x 1/3 26. 1/x 3
5
Differentiation of Combinations of functions 組合函數的微分法則 Type 函數形式 Rule 法則 Multiple of a function 函數的倍數 Sum of functions 函數相加 Product rule 乘法律 Quotient rule 除法律 Chain rule 連鎖律 Inverse rule 倒數律
6
Example 4.11 Linear Combination of Function 函數的線性組合 ( 函數相加的微分 )
7
Exercises differentiate by rule 由公式求微分
8
Exercises differentiate by rule 由公式求微分 ( 應用題 )
9
Product Rule 乘法律 ( 函數相乘的微分 )
10
Example 4.12
11
Exercises differentiate by rule 由公式求微分
14
Example 4.13 Quotient Rule 除法律 ( 函數相除的微分 )
15
Exercises differentiate by rule 由公式求微分
19
待續 …
Similar presentations