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 ? For more videos visit mrbartonmaths.com/videos Rule

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

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

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

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