Differentiation - Jamb Mathematics Past Questions and Answers

Question 21:

• JAMB 1995

The derivative of cosec x is

A. Tan x cosec x
B. -cot x cosec x
C. Tan x sec x
D. -cot x sec x

Question 22:

• JAMB 1995

Two variables x and y are such that \(\frac{dy}{dx}\) = 4x - 3 and y = 5 when x = 2. Find y in terms of x

A. 2x² - 3x + 5
B. 2x² - 3x + 3
C. 2x² - 3x
D. 4

Question 23:

• JAMB 1995

Find the area bounded by the curve y = 3x\(^2\) - 2x + 1, the ordinates x = 1 and x = 3 and the x-axis.

A. 24
B. 22
C. 21
D. 20

Question 24:

• JAMB 1997

Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x

A. \(\frac{2 + 2}{3x^3}\)
B. 2 + \(\frac{1}{6x}\)
C. 2 - \(\frac{2}{3x^3}\)
D. \(\frac{1}{5}\)

Question 25:

• JAMB 1997

\(\frac{d}{dx}\) cos(3x\(^2\) - 2x) is equal to

A. -sin(6x - 2)
B. -sin(3x² - 2x)dx
C. (6x - 2) sin(3x² - 2x)
D. -(6x - 2)sin(3x² - 2x)