IB Maths AI HL Sl 5 1 Limits and Derivative Concept Questions

Practise interpreting derivatives as rates, including acceleration and steepest gradients, then connecting notation and local change to the modelled quantity.

Exam points

Estimate a limit from a table or graph and interpret a derivative as a gradient function or rate of change.
Use dy/dx, f′(x), dV/dr or ds/dt notation to describe the relevant rate.
Connect the local rate of change to the quantity or context being modelled.

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Study SL 5.1—Limits and derivative concept conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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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.

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On the axes,

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

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IB Maths AI HL Sl 5 1 Limits and Derivative Concept Questions question 1