1. 𝒆 𝒙 : Derivative of the function?
True/false
Reflect
Your Turn
𝑑( 𝑒 𝑥 ) 𝑑𝑥 =𝑥 𝑒 𝑥 ?
𝑑( 𝑒 2𝑥 ) 𝑑𝑥 =2 𝑒 2𝑥 ?
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Rule

2. 𝑑( 𝑒 𝑥 3 ) 𝑑𝑥 = 1 3 𝑒 𝑥 3 𝑑( 𝑒 𝑥 ) 𝑑𝑥 =𝑥 𝑒 𝑥 𝑑( 𝑒 2𝑥 ) 𝑑𝑥 =2 𝑒 2𝑥
𝑑( 𝑒 𝑥 3 ) 𝑑𝑥 = 1 3 𝑒 𝑥 3
𝑑( 𝑒 𝑥 ) 𝑑𝑥 =𝑥 𝑒 𝑥
Yes / No
Yes / No
𝑑( 𝑒 2𝑥 ) 𝑑𝑥 =2 𝑒 2𝑥
𝑑( 𝑒 −𝑥 ) 𝑑𝑥 =− 𝑒 −𝑥
Yes / No
Yes / No
𝑑( 𝑒 2𝑥 ) 𝑑𝑥 =2 𝑒 𝑥
𝑑( 𝑒 𝑥 ) 𝑑𝑥 =𝑥 𝑒 𝑥
Yes / No
Yes / No
𝑑( 𝑒 𝑥 5 ) 𝑑𝑥 = 1 5 𝑒 𝑥 5
𝑑( 𝑒 5𝑥 ) 𝑑𝑥 =5 𝑒 5𝑥
Yes / No
Yes / No
𝑑( 𝑒 6𝑥 ) 𝑑𝑥 =6 𝑒 𝑥
𝑑( 𝑒 −3𝑥 ) 𝑑𝑥 =3 𝑒 −3𝑥
Yes / No
Yes / No
𝑑( 𝑒 − 𝑥 2 ) 𝑑𝑥 =− 1 2 𝑒 𝑥 2
𝑑( 𝑒 2 3 𝑥 ) 𝑑𝑥 = 2 3 𝑒 2 3 𝑥
Yes / No
Yes / No

3. 𝑑( 𝑒 𝑥 3 ) 𝑑𝑥 = 1 3 𝑒 𝑥 3 𝑑( 𝑒 𝑥 ) 𝑑𝑥 =𝑥 𝑒 𝑥 𝑑( 𝑒 2𝑥 ) 𝑑𝑥 =2 𝑒 2𝑥
𝑑( 𝑒 𝑥 3 ) 𝑑𝑥 = 1 3 𝑒 𝑥 3
𝑑( 𝑒 𝑥 ) 𝑑𝑥 =𝑥 𝑒 𝑥
Yes / No
Yes / No
𝑑( 𝑒 2𝑥 ) 𝑑𝑥 =2 𝑒 2𝑥
𝑑( 𝑒 −𝑥 ) 𝑑𝑥 =− 𝑒 −𝑥
Yes / No
Yes / No
𝑑( 𝑒 2𝑥 ) 𝑑𝑥 =2 𝑒 𝑥
𝑑( 𝑒 𝑥 ) 𝑑𝑥 =− 𝑒 𝑥
Yes / No
Yes / No
𝑑( 𝑒 𝑥 5 ) 𝑑𝑥 = 1 5 𝑒 𝑥 5
𝑑( 𝑒 5𝑥 ) 𝑑𝑥 =5 𝑒 5𝑥
Yes / No
Yes / No
𝑑( 𝑒 6𝑥 ) 𝑑𝑥 =6 𝑒 𝑥
𝑑( 𝑒 −3𝑥 ) 𝑑𝑥 =3 𝑒 −3𝑥
Yes / No
Yes / No
𝑑( 𝑒 − 𝑥 2 ) 𝑑𝑥 =− 1 2 𝑒 𝑥 2
𝑑( 𝑒 2 3 𝑥 ) 𝑑𝑥 = 2 3 𝑒 2 3 𝑥
Yes / No
Yes / No

4. 𝑑( 𝑒 𝑥 ) 𝑑𝑥 = 𝑒 𝑥 𝑑( 𝑒 −2𝑥 ) 𝑑𝑥 =−2 𝑒 2𝑥 𝑑( 𝑒 −5𝑥 ) 𝑑𝑥 =−5 𝑒 −5𝑥
Your Turn
𝑑( 𝑒 𝑥 ) 𝑑𝑥 = 𝑒 𝑥
Yes / No
𝑑( 𝑒 −2𝑥 ) 𝑑𝑥 =−2 𝑒 2𝑥
Yes / No
𝑑( 𝑒 −5𝑥 ) 𝑑𝑥 =−5 𝑒 −5𝑥
Yes / No
𝑑( 𝑒 5𝑥 ) 𝑑𝑥 =7 𝑒 7𝑥
Yes / No
𝑑( 𝑒 − 3𝑥 7 ) 𝑑𝑥 =− 3 7 𝑒 − 3𝑥 7
Yes / No

5. 𝑑( 𝑒 𝑥 ) 𝑑𝑥 = 𝑒 𝑥 𝑑( 𝑒 −2𝑥 ) 𝑑𝑥 =−2 𝑒 2𝑥 𝑑( 𝑒 −5𝑥 ) 𝑑𝑥 =−5 𝑒 −5𝑥
Your Turn
𝑑( 𝑒 𝑥 ) 𝑑𝑥 = 𝑒 𝑥
Yes / No
𝑑( 𝑒 −2𝑥 ) 𝑑𝑥 =−2 𝑒 2𝑥
Yes / No
𝑑( 𝑒 −5𝑥 ) 𝑑𝑥 =−5 𝑒 −5𝑥
Yes / No
𝑑( 𝑒 5𝑥 ) 𝑑𝑥 =7 𝑒 7𝑥
Yes / No
𝑑( 𝑒 − 3𝑥 7 ) 𝑑𝑥 =− 3 7 𝑒 − 3𝑥 7
Yes / No