Application Of Differentiation - Mathematics Jamb Past Questions and Answers

Question 1 :

• JAMB 2019

If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

A. 50 units per sec
B. 35 units per sec
C. 22 units per sec
D. 13 units per sec

Question 2 :

• JAMB 2019

If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

A. \(\frac{\pi h}{3} (2R + r)\)
B. \(2R + r + \frac{\pi h}{3}\)
C. \(\frac{\pi h}{3} (2R^2 + r + 2r)\)
D. \(\frac{2R^2}{3} \pi h\)

Question 3 :

• JAMB 2018

Find the equation of the tangent at the point (2, 0) to the curve y = x\(^2\) - 2x

A. Y = 2x - 4
B. Y = 2x + 4
C. Y = 2x - 2
D. Y = 2x + 2

Question 4 :

• JAMB 2018

A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

A. 7
B. 6
C. 5
D. 4

Question 5 :

• JAMB 2018

A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

A. 7
B. 6
C. 5
D. 4