Differentiation - Jamb Mathematics Past Questions and Answers

Question 26:

• JAMB 1998

If y = 243(4x + 5)^-2, find \(\frac{dy}{dx}\) when x = 1

A. \(\frac{-8}{3}\)
B. \(\frac{3}{8}\)
C. \(\frac{9}{8}\)
D. -\(\frac{8}{9}\)

Question 27:

• JAMB 1998

Differentiate \(\frac{x}{cosx}\) with respect to x

A. 1 + x sec x tan x
B. 1 + sec² x
C. Cos x + x tan x
D. X sec x tan x + secx

Question 28:

• JAMB 1999

What is the derivative of t² sin (3t - 5) with respect to t?

A. 6t cos (3t - 5)
B. 2t sin (3t - 5) - 3t² cos (3t - 5)
C. 2t sin (3t - 5) + 3t² cos (3t - 5)
D. 2t sin (3t - 5) + t² cos 3t

Question 29:

• JAMB 2000

If y = 2x - sin2x, find dy/dx when x = π/4

A. π
B. -π
C. π/2
D. -π/2

Question 30:

• JAMB 2001

Differentiate \((2x+5)^{2} (x-4)\) with respect to x.

A. 4(2x+5)(x-4)
B. 4(2x+5)(4x-3)
C. (2x+5)(2x-13)
D. (2x+5)(6x-11)