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JAMB Mathematics 2011 Paper

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Question : 32

Total: 46

The derivatives of (2x + 1)(3x + 1) is

12x + 1
6x + 5
6x + 1
12x + 5

Solution:

Concept:

Use the product rule for differentiation:

\frac{d}{dx}(uv) = u\frac{dv}{dx} + v\frac{du}{dx}

.

Explanation:

Let

u = 2x + 1

and

v = 3x + 1

.

Then

\frac{du}{dx} = 2

and

\frac{dv}{dx} = 3

.

Apply the product rule:

\frac{dy}{dx} = (2x + 1)(3) + (3x + 1)(2)

.

Expand:

6x + 3 + 6x + 2

.

Simplify:

12x + 5

.

Answer:

The derivative is

12x + 5

, so the correct option is D.

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