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IB Maths AI SL 5.1 Limits and Derivative Concept Questions

Practise estimating limits and using derivative notation to describe gradients and rates of change, then interpreting the local rate in its applied context.

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation SL
Level
SL

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.

IB Maths AI SL 5.1 Limits and Derivative Concept Questions question 1

[Maximum number: 2]

Consider the graph of the cubic function f(x)=x3+2x2−4x−2f(x)=x^{3}+2 x^{2}-4 x-2. Part of the graph of y=f(x) is shown in the following diagram.

Figure for Question IB Maths AI SL 5.1 Limits and Derivative Concept Questions question 1 — IB Maths AI SL

Write down

the gradient of the tangent.

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