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IB Maths AA HL 5.3 Derivative of powers Question Bank

Practise IB Mathematics SL/HL 5.3 by applying derivative of powers methods to exam-style questions.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches HL
Level
HL

Exam points

  • identify the mathematical structure, variable or representation
  • select and apply the correct theorem, formula or algorithm
  • check the result using units, domain, graph or logical reasoning

SL 5.3—Derivative of powers question 1

[Maximum number: 4]

Consider the function f(x)=ax3+bx2+cx+df(x)=a x^{3}+b x^{2}+c x+d, where xRx \in \mathbb{R} and a,b,c,dRa, b, c, d \in \mathbb{R}.

Write down an expression for f(x)f^{\prime}(x).

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