Application of differentiation - Jamb Mathematics Past Questions and Answers

Question 26:

• JAMB 2007

Find the value of x for which the function f(x) = 2x³ - x² - 4x + 4 has a maximum value

A. ²/₃
B. 1
C. - ²/₃
D. - 1

Question 27:

• JAMB 2008

Find the minimum value of the function y = x(1+x)

A. -¹/₄
B. -¹/₂
C. ¹/₄
D. ¹/₂

Question 28:

• JAMB 2009

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

A. 0 units per sec
B. 15 units per sec
C. 22 unit per sec
D. 26 units per sec

Question 29:

• JAMB 2009

The distance travelled by a particle from a fixed point is given as s = (t³ - t² - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point.

A. 2.3 cm
B. 4.0 cm
C. 5.2 cm
D. 6.0 cm

Question 30:

• JAMB 2009

What value of x will make the function x(4 - x) a maximum?

A. 4
B. 3
C. 2
D. 1