1. Differentiation: Basic differentiation
True/false
Reflect
Your Turn
𝑦= 𝑥 2 −3𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 −5 𝑑𝑦 𝑑𝑥 =
Rule

2. @mrbartonmaths 𝑦= 𝑥 2 𝑑𝑦 𝑑𝑥 = 𝑦= 𝑥 2 +3𝑥 𝑑𝑦 𝑑𝑥 = 𝑦= 𝑥 2 −3𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 +3𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 −3𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 −5 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 +3𝑥+6 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 +3𝑥+5 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 +2𝑥+5 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 +𝑥+5 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 +𝑥−5 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 −𝑥−5 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 2 −2𝑥−5 𝑑𝑦 𝑑𝑥 =
𝑦=2 𝑥 2 −2𝑥−5 𝑑𝑦 𝑑𝑥 =
𝑦= 3𝑥 2 −2𝑥−5 𝑑𝑦 𝑑𝑥 =
𝑦= 3𝑥 3 −2 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 2𝑥 3 −2 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 2𝑥 3 +2 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 2𝑥 3 +2−5𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 2𝑥 3 −5𝑥+2 𝑑𝑦 𝑑𝑥 =
𝑦=2−5𝑥− 2𝑥 3 𝑑𝑦 𝑑𝑥 =
@mrbartonmaths

3. @mrbartonmaths 𝑦= 𝑥 2 𝑑𝑦 𝑑𝑥 =2𝑥 𝑦= 𝑥 2 +3𝑥 𝑑𝑦 𝑑𝑥 =2𝑥+3
𝑦= 𝑥 𝑑𝑦 𝑑𝑥 =2𝑥
𝑦= 𝑥 2 +3𝑥 𝑑𝑦 𝑑𝑥 =2𝑥+3
𝑦= 𝑥 2 −3𝑥 𝑑𝑦 𝑑𝑥 =2𝑥−3
𝑦= 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 =2𝑥−5
𝑦= 𝑥 2 −5 𝑑𝑦 𝑑𝑥 =2𝑥
𝑦= 𝑥 𝑑𝑦 𝑑𝑥 =2𝑥
𝑦= 𝑥 𝑑𝑦 𝑑𝑥 =2𝑥
𝑦= 𝑥 2 +3𝑥+6 𝑑𝑦 𝑑𝑥 =2𝑥+3
𝑦= 𝑥 2 +3𝑥+5 𝑑𝑦 𝑑𝑥 =2𝑥+3
𝑦= 𝑥 2 +2𝑥+5 𝑑𝑦 𝑑𝑥 =2𝑥+2
𝑦= 𝑥 2 +𝑥+5 𝑑𝑦 𝑑𝑥 =2𝑥+1
𝑦= 𝑥 2 +𝑥−5 𝑑𝑦 𝑑𝑥 =2𝑥+1
𝑦= 𝑥 2 −𝑥−5 𝑑𝑦 𝑑𝑥 =2𝑥−1
𝑦= 𝑥 2 −2𝑥−5 𝑑𝑦 𝑑𝑥 =2𝑥−2
𝑦=2 𝑥 2 −2𝑥−5 𝑑𝑦 𝑑𝑥 =4𝑥−2
𝑦= 3𝑥 2 −2𝑥−5 𝑑𝑦 𝑑𝑥 =6𝑥−2
𝑦= 3𝑥 3 −2 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 = 9𝑥 2 −4𝑥−5
𝑦= 2𝑥 3 −2 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 = 6𝑥 2 −4𝑥−5
𝑦= 2𝑥 3 +2 𝑥 2 −5𝑥 𝑑𝑦 𝑑𝑥 = 6𝑥 2 +4𝑥−5
𝑦= 2𝑥 3 +2−5𝑥 𝑑𝑦 𝑑𝑥 = 6𝑥 2 −5
𝑦= 2𝑥 3 −5𝑥+2 𝑑𝑦 𝑑𝑥 = 6𝑥 2 −5
𝑦=2−5𝑥− 2𝑥 3 𝑑𝑦 𝑑𝑥 = −5−6𝑥 2
@mrbartonmaths

4. Your Turn 𝑦= 𝑥 3 𝑑𝑦 𝑑𝑥 = 𝑦= 𝑥 3 −5 𝑥 2 𝑑𝑦 𝑑𝑥 = 𝑦= 𝑥 3 −5𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 3 −5 𝑥 2 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 3 −5𝑥 𝑑𝑦 𝑑𝑥 =
𝑦= 𝑥 3 −5 𝑑𝑦 𝑑𝑥 =
𝑦= 5−𝑥 3 𝑑𝑦 𝑑𝑥 =
@mrbartonmaths

5. Your Turn - answers 𝑦= 𝑥 3 𝑑𝑦 𝑑𝑥 = 3𝑥 2
𝑦= 𝑥 𝑑𝑦 𝑑𝑥 = 3𝑥 2
𝑦= 𝑥 3 −5 𝑥 2 𝑑𝑦 𝑑𝑥 = 3𝑥 2 −10𝑥
𝑦= 𝑥 3 −5𝑥 𝑑𝑦 𝑑𝑥 = 3𝑥 2 −5
𝑦= 𝑥 3 −5 𝑑𝑦 𝑑𝑥 = 3𝑥 2
𝑦= 5−𝑥 3 𝑑𝑦 𝑑𝑥 = −3𝑥 2
@mrbartonmaths