Mathematics Higher Level for the IB Diploma
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Self-assessment answers: 18 Further differentiation
methods
1. (a) 5(2x + 1)
4× 2 = 10(2x + 1)
4(b) 3 cos
2(2x) × (– sin(2x)) × 2 = − 6 cos
2(2x)sin(2x)
(c)
42 1 x x
(d) 2
xx ln 2 2
2 xx
[9 marks]
2.
2 2 2
4
d 2 e 2 e
d
x x
y x x
x x
2 3