Your Practice Set – Applications and Interpretation for IBDP Mathematics
SUMMARY POINTs
� f��( a) � 0 and f�� ( x) changes sign at x� a: ( a, f ( a )) is a point of inflexion of f( x )
� dN dN dx
� � : Rate of change of N with respect to the time t 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) : Acceleration
Solutions of Chapter 10
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