ESAT Maths 2 Practice Question Bank

P08B Differentiation: Challenge

Time Allowed

40 min

No. of Qs

14

Language

English

Learning Objectives

  • Understand the derivative as the gradient of a tangent and as a rate of change.
  • Differentiate functions of the form (for rational ), , and sums/differences of such functions.
  • Apply differentiation rules (including product, quotient, and chain rules for more complex functions if encountered).
  • Calculate and interpret second-order derivatives.
  • Find equations of tangents and normals to curves.
  • Locate stationary points (maxima, minima) and determine their nature using first or second derivatives.
  • Identify intervals where a function is increasing or decreasing.
  • Understand the relationship between differentiation and integration via the Fundamental Theorem of Calculus.
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Practice questions of P08B Differentiation: Challenge

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