Differentiation - Jamb Mathematics Past Questions and Answers

Question 31:

• JAMB 2001

If y = x sinx, find dy/dx when x = π/2.

A. -π/2
B. -1
C. 1
D. π/2

Question 32:

• JAMB 2002

If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.

A. 2x² - 3x
B. X² - 3x
C. X² - 3x - 3
D. X² - 3x + 3

Question 33:

• JAMB 2002

Find the derivative of \(y = \sin^{2} (5x)\) with respect to x.

A. 10 sin 5x cos 5x
B. 5 sin5x cos 5x
C. 2 sin 5x cos 5x
D. 15 sin 5x cos 5x

Question 34:

• JAMB 2002

If \(y = x^2 - \frac{1}{x}\). find dy/dx

A. 2x - (1/x²)
B. 2x + x²
C. 2x - x²
D. 2x + (1/x²)

Question 35:

• JAMB 2003

If y = 3 sin(-4x), dy/dx is

A. 12x cos (4x)
B. -12x cos (-4x)
C. -12 cos (-4x)
D. 12 sin (-4x)