Differentiation - Jamb Mathematics Past Questions and Answers

Question 6:

• JAMB 2019

If \(f(x) = 3x^3 + 4x^2 + x - 8\), what is the value of f(-2)?

A. -24
B. 30
C. -18
D. -50

Question 7:

• JAMB 2019

If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

A. \(\frac{\pi h}{3} (2R + r)\)
B. \(2R + r + \frac{\pi h}{3}\)
C. \(\frac{\pi h}{3} (2R^2 + r + 2r)\)
D. \(\frac{2R^2}{3} \pi h\)

Question 8:

• JAMB 2016

Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)

A. 2( \(\frac{1}{3}\)X + 6
B. \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
C. \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)²
D. \(\frac{1}{3}\) ( \(\frac{1}{3}\)X + 6)²

Question 9:

• JAMB 2016

Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)

A. 3x² - \(\frac{4}{x}\)
B. 2x² +\(\frac{4}{x^2}\)
C. 3x² + \(\frac{4}{x^2}\)
D. 2x² - \(\frac{4}{x}\)

Question 10:

• JAMB 2016

If y = 2x³ + 6x² + 6x + 1, Find \(\frac{dy}{dx}\)

A. 6x² + 12x + 1
B. 6x² + 6x + 1
C. 6x² + 6x + 6
D. 6x² + 12x + 6