JAMB Mathematics · Calculus

Differentiation: JAMB Mathematics Past Questions and Answers

What the JAMB syllabus covers in Differentiation

Our summary: Finding how fast a function changes, starting from limits.

  • Limit of a function
  • Differentiation of explicit algebraic and simple trigonometrical functions: sine, cosine and tangent

Objectives

  • Find the limit of a function
  • Differentiate explicit algebraic and simple trigonometrical functions

Syllabus content © The Joint Admissions and Matriculation Board (UTME).

JAMB Mathematics questions on Differentiation

  1. JAMB 2025Find the derivatives of y = sin 4x
  2. JAMB 2024Differentiate y = (5x + 1) ^4
  3. JAMB 2023Evaluate the following limit: lim x 2 x^2 + 4x - 12 x^2 - 2x
  4. JAMB 2023Differentiate the function y = [3] x^2 (2x - x^2)
  5. JAMB 2022find the limit of y = x^3 + 6x - 7/x-1 as x tends to 1
  6. JAMB 2021Find the derivative of the function y = 2x ^2 (2x - 1) at the point x = -1?
  7. JAMB 2019If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.
  8. JAMB 2019If the volume of a frustrum is given as V = h/3 (R^2 + Rr + r^2) , find d V/ d R .
  9. JAMB 2019Differentiate 2x/ x with respect to x.
  10. JAMB 2019If y = 8x ^3 - 3x ^2 + 7x - 1, find d^2 y/ d x^2 .
  11. JAMB 2019If y = 6x^3 + 2x^ -2 - x^ -3 , find d y/ d x .
  12. JAMB 2019d/dx [ (4x^3 - 2x)] is equal to
  13. JAMB 2017If y = x Sin x, find dy/dx when x = /2
  14. JAMB 2016Find dy/dx , if y = 2/3 x ^3 - 4/x
  15. JAMB 2016Find dy/dx . If y = 3x3 + 2x2 + 3x + 1
  16. JAMB 2016If y = 2x3 + 6x2 + 6x + 1, Find dy/dx
  17. JAMB 2014If y = cos 3x, find y/ x
  18. JAMB 2014If y = 4x3 - 2x2 + x, find y/ x
  19. JAMB 2013If y = (2x + 2) ^3 , find y/ x
  20. JAMB 2013If y = x sin x, find y/ x
  21. JAMB 2012If y = x2 - 1/x , find y/ x
  22. JAMB 2012Find d y/ d x if y = x .
  23. JAMB 2011Find the derivative of
  24. JAMB 2011The derivatives of (2x + 1)(3x + 1) is
  25. JAMB 2010If y = (2x + 1) ^3 find d dx
  26. JAMB 2010If y = x sinx, find dy/dx

Years with Differentiation questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2019
  • 2017
  • 2016
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010