Calculus - Mathematics Jamb Past Questions and Answers

Question 31 :

• JAMB 2014

If y = cos 3x, find \(\frac{\delta y}{\delta x}\)

A. \(\frac{1}{3} \sin 3x\)
B. \(-\frac{1}{3} \sin 3x\)
C. 3 sin 3x
D. -3 sin 3x

Question 32 :

• JAMB 2014

Find the minimum value of y = x² - 2x - 3

A. 4
B. 1
C. -1
D. -4

Question 33 :

• JAMB 2014

Evaluate \(\int \sin 2x dx\)

A. Cos 2x + k
B. \(\frac{1}{2}\)cos 2x + k
C. \(-\frac{1}{2}\)cos 2x + k
D. -cos 2x + k

Question 34 :

• JAMB 2014

Evaluate \(\int (2x + 3)^{\frac{1}{2}} \delta x\)

A. \(\frac{1}{12} (2x + 3)^6 + k\)
B. \(\frac{1}{3} (2x + 3)^{\frac{1}{2}} + k\)
C. \(\frac{1}{3} (2x + 3)^{\frac{3}{2}} + k\)
D. \(\frac{1}{12} (2x + 3)^{\frac{3}{4}} + k\)

Question 35 :

• JAMB 2013

If y = x sin x, find \(\frac{\delta y}{\delta x}\)

A. Sin x - cos x
B. Cos x - x sin x
C. Cos x + x sin x
D. Sin x + x cos x