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1 𝒆 𝒙 : Derivative of the function ?
True/false Reflect Your Turn 𝑑( 2𝑒 𝑥 ) 𝑑𝑥 =2𝑥 𝑒 𝑥 ? 𝑑( 3𝑒 2𝑥 ) 𝑑𝑥 =5 𝑒 𝑥 ? For more videos visit mrbartonmaths.com/videos Rule

2 𝑑( 5𝑒 𝑥 3 ) 𝑑𝑥 = 5 3 𝑒 𝑥 𝑑( 2𝑒 𝑥 ) 𝑑𝑥 =2𝑥 𝑒 𝑥 𝑑( 4𝑒 2𝑥 ) 𝑑𝑥 =8 𝑒 2𝑥
𝑑( 5𝑒 𝑥 3 ) 𝑑𝑥 = 5 3 𝑒 𝑥 𝑑( 2𝑒 𝑥 ) 𝑑𝑥 =2𝑥 𝑒 𝑥 Yes / No Yes / No 𝑑( 4𝑒 2𝑥 ) 𝑑𝑥 =8 𝑒 2𝑥 Yes / No 𝑑( 0𝑒 −𝑥 ) 𝑑𝑥 =− 𝑒 −𝑥 Yes / No 𝑑( 3𝑒 2𝑥 ) 𝑑𝑥 =5 𝑒 𝑥 Yes / No 𝑑(7 𝑒 𝑥 ) 𝑑𝑥 =7 𝑒 𝑥 Yes / No 𝑑(−3 𝑒 𝑥 5 ) 𝑑𝑥 =− 3 5 𝑒 𝑥 5 𝑑(2 𝑒 −5𝑥 ) 𝑑𝑥 =−10 𝑒 −5𝑥 Yes / No Yes / No 𝑑(3 𝑒 6𝑥 ) 𝑑𝑥 =18 𝑒 𝑥 Yes / No 𝑑(− 𝑒 −3𝑥 ) 𝑑𝑥 =3 𝑒 −3𝑥 Yes / No 𝑑( 0.5𝑒 − 𝑥 2 ) 𝑑𝑥 =− 1 4 𝑒 𝑥 2 𝑑( 2 3 𝑒 2 3 𝑥 ) 𝑑𝑥 = 4 9 𝑒 2 3 𝑥 Yes / No Yes / No @mrbartonmaths

3 𝑑( 5𝑒 𝑥 3 ) 𝑑𝑥 = 5 3 𝑒 𝑥 𝑑( 2𝑒 𝑥 ) 𝑑𝑥 =2𝑥 𝑒 𝑥 𝑑( 4𝑒 2𝑥 ) 𝑑𝑥 =8 𝑒 2𝑥
𝑑( 5𝑒 𝑥 3 ) 𝑑𝑥 = 5 3 𝑒 𝑥 𝑑( 2𝑒 𝑥 ) 𝑑𝑥 =2𝑥 𝑒 𝑥 Yes / No Yes / No 𝑑( 4𝑒 2𝑥 ) 𝑑𝑥 =8 𝑒 2𝑥 Yes / No 𝑑( 0𝑒 −𝑥 ) 𝑑𝑥 =− 𝑒 −𝑥 Yes / No 𝑑( 3𝑒 2𝑥 ) 𝑑𝑥 =5 𝑒 𝑥 Yes / No 𝑑(7 𝑒 𝑥 ) 𝑑𝑥 =7 𝑒 𝑥 Yes / No 𝑑(−3 𝑒 𝑥 5 ) 𝑑𝑥 =− 3 5 𝑒 𝑥 5 𝑑(2 𝑒 −5𝑥 ) 𝑑𝑥 =−10 𝑒 −5𝑥 Yes / No Yes / No 𝑑(3 𝑒 6𝑥 ) 𝑑𝑥 =18 𝑒 𝑥 Yes / No 𝑑(− 𝑒 −3𝑥 ) 𝑑𝑥 =3 𝑒 −3𝑥 Yes / No 𝑑( 0.5𝑒 − 𝑥 2 ) 𝑑𝑥 =− 1 4 𝑒 𝑥 2 𝑑( 2 3 𝑒 2 3 𝑥 ) 𝑑𝑥 = 4 9 𝑒 2 3 𝑥 Yes / No Yes / No @mrbartonmaths

4 𝑑(5 𝑒 𝑥 ) 𝑑𝑥 = 5𝑒 𝑥 𝑑( 0.5𝑒 −2𝑥 ) 𝑑𝑥 =− 𝑒 2𝑥 𝑑( 3𝑒 −5𝑥 ) 𝑑𝑥 =−2 𝑒 −5𝑥
Your Turn 𝑑(5 𝑒 𝑥 ) 𝑑𝑥 = 5𝑒 𝑥 Yes / No 𝑑( 0.5𝑒 −2𝑥 ) 𝑑𝑥 =− 𝑒 2𝑥 Yes / No 𝑑( 3𝑒 −5𝑥 ) 𝑑𝑥 =−2 𝑒 −5𝑥 Yes / No 𝑑( 2𝑒 4𝑥 ) 𝑑𝑥 =8 𝑒 𝑥 Yes / No 𝑑( 4𝑒 − 3𝑥 7 ) 𝑑𝑥 =− 𝑒 − 3𝑥 7 Yes / No @mrbartonmaths

5 𝑑(5 𝑒 𝑥 ) 𝑑𝑥 = 5𝑒 𝑥 𝑑( 0.5𝑒 −2𝑥 ) 𝑑𝑥 =− 𝑒 2𝑥 𝑑( 3𝑒 −5𝑥 ) 𝑑𝑥 =−2 𝑒 −5𝑥
Your Turn 𝑑(5 𝑒 𝑥 ) 𝑑𝑥 = 5𝑒 𝑥 Yes / No 𝑑( 0.5𝑒 −2𝑥 ) 𝑑𝑥 =− 𝑒 2𝑥 Yes / No 𝑑( 3𝑒 −5𝑥 ) 𝑑𝑥 =−2 𝑒 −5𝑥 Yes / No 𝑑( 2𝑒 4𝑥 ) 𝑑𝑥 =8 𝑒 𝑥 Yes / No 𝑑( 4𝑒 − 3𝑥 7 ) 𝑑𝑥 =− 𝑒 − 3𝑥 7 Yes / No @mrbartonmaths


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