JAMB Mathematics · Calculus

Application of differentiation: JAMB Mathematics Past Questions and Answers

What the JAMB syllabus covers in Application of differentiation

Our summary: Using derivatives for rates of change and for finding the biggest or smallest value.

  • Rate of change
  • Maxima and minima

Objectives

  • Solve problems involving applications of rate of change, maxima and minima

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

JAMB Mathematics questions on Application of differentiation

  1. JAMB 2023The area A of a circle is increasing at a constant rate of 1.5 cm ^2s^ -1 . Find, to 3 significant figures, the rate at which the radius r of the circle is…
  2. JAMB 2021determine the maximum value of y=3x ^2 + 5x - 3
  3. JAMB 2021What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?
  4. JAMB 2019If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.
  5. JAMB 2018A trader realises 10x - x ^2 Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?
  6. JAMB 2018Find the equation of the tangent at the point (2, 0) to the curve y = x ^2 - 2x
  7. JAMB 2014Find the minimum value of y = x2 - 2x - 3
  8. JAMB 2013The radius of a circle is increasing at the rate of 0.02cms-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.
  9. JAMB 2011Find the value of x at the minimum point of the curve y = x3 + x2 - x + 1
  10. JAMB 2010At what value of X does the function y = -3 - 2x + X2 attain a minimum value?

Years with Application of differentiation questions in DeeepSolve's question bank

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

  • 2023
  • 2021
  • 2019
  • 2018
  • 2014
  • 2013
  • 2011
  • 2010