Analysis and Approaches for IBDP Maths Ebook 2 | Page 145

Chapter
11
11
Applications of
Differentiation
SUMMARY POINTs
�
Properties of rate of change:
dN dN dx
1. � � 2.
dt dx dt
dy
�
dx
dy
dt
dx
dt
�
Tests for optimization:
1. First derivative test
2. Second derivative test
�
Applications in kinematics:
1. st (): Displacement with respect to the time t
2. v( t) � s�( t)
: Velocity
3. a( t) �v�( t) � s��
( t)
: Acceleration
Solutions of Chapter 11
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135