IB Maths AI HL 5.1 Limits and derivative concept Question Bank

Practise IB Maths AI HL 5.1 by analysing derivatives, acceleration and steepest-gradient behaviour in models.

Exam points

Analyse derivative behaviour to determine acceleration, extrema and steepest gradients.
Evaluate rates of change and derivative-based conclusions in applied contexts.

[Maximum number: 3]

Conrad is investigating the motion of a particle. The velocity of the particle, in $\mathrm{ms}^{-1}$ , is given by $v(t)=2 \cos t+\sin 2 t-0.2$ where t is the time, in seconds, after the investigation begins.

Figure for Question SL 5.1—Limits and derivative concept question 1 — IB Maths AI HL

On the axes,

label, with coordinates, the point(s) where the particle has zero acceleration.

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SL 5.1—Limits and derivative concept question 1