CALCULUS - Jamb Mathematics Past Questions with Answers

Jamb Mathematics Past Questions

Jamb Past Questions and Answers on CALCULUS

Question 1:

JAMB 2019

y = 6 x^{3} + 2 x^{- 2} - x^{- 3}

, find

\frac{d y}{d x}

.

A.

\frac{d y}{d x} = 15 x^{2} - 4 x^{- 2} - 3 x^{- 2}

\frac{d y}{d x} = 6 x + 4 x^{- 1} - 3 x^{- 4}

\frac{d y}{d x} = 18 x^{2} - 4 x^{- 3} + 3 x^{- 4}

\frac{d y}{d x} = 12 x^{2} + 4 x^{- 1} - 3 x^{- 2}

View Answer & Explanation

Question 2:

JAMB 2019

\frac{d}{d x} [\log (4 x^{3} - 2 x)]

is equal to

A.

\frac{12 x - 2}{4 x^{2}}

\frac{43 x^{2} - 2 x}{7 x}

\frac{4 x^{2} - 2}{7 x + 6}

\frac{12 x^{2} - 2}{4 x^{3} - 2 x}

View Answer & Explanation

Question 3:

JAMB 2019

Integrate

\int_{- 1}^{2} (2 x^{2} + x) d x

4 \frac{1}{2}

3 \frac{1}{2}

7 \frac{1}{2}

5 \frac{1}{4}

View Answer & Explanation

Question 4:

JAMB 2019

If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

A. 50 units per sec
B. 35 units per sec
C. 22 units per sec
D. 13 units per sec

View Answer & Explanation

Question 5:

JAMB 2019

If the volume of a frustrum is given as

V = \frac{π h}{3} (R^{2} + R r + r^{2})

, find

\frac{d V}{d R}

.

A.

\frac{π h}{3} (2 R + r)

2 R + r + \frac{π h}{3}

\frac{π h}{3} (2 R^{2} + r + 2 r)

\frac{2 R^{2}}{3} π h

View Answer & Explanation

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CALCULUS - Jamb Mathematics Past Questions and Answers

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Jamb Mathematics Past Questions

Jamb Past Questions and Answers on CALCULUS

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