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IB Maths AI SL 5.1 Limits and derivative concept Question Bank

Practise IB Maths AI SL 5.1 by finding derivatives and interpreting rates of change in applied models.

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

Exam points

  • Find a derivative or gradient at a specified point using the function or differential model.
  • Interpret a derivative as a rate of change in a real-world context.

SL 5.1—Limits and derivative concept question 1

[Maximum number: 2]

Consider the graph of the cubic function f(x)=x3+2x24x2f(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 SL 5.1—Limits and derivative concept question 1 — IB Maths AI SL

Write down

the gradient of the tangent.

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