CALCULUS - Jamb Mathematics Past Questions and Answers

Question 36:

• JAMB 2013

If y = (2x + 2)\(^3\), find \(\frac{\delta y}{\delta x}\)

A. 3(2x +2)²
B. 6(2x +2)
C. 3(2x +2)
D. 6(2x +2)²

Question 37:

• JAMB 2013

Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)

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

Question 38:

• JAMB 2013

Evaluate \(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)

A. -2
B. 2
C. 1
D. -1

Question 39:

• JAMB 1978

The minimum point on the curve y = x2 - 6x + 5 is at

A. (1, 5)
B. (2, 3)
C. (-3, -4)
D. (3, -4)

Question 40:

• JAMB 1990

At what value of x is the function x\(^2\) + x + 1 minimum?

A. -1
B. \(-\frac{1}{2}\)
C. \(\frac{1}{2}\)
D. 1