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Methods2025 NHT Exam 2 Section A · Q15CAS active1 mark

Derivative of a product involving g(2x)

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The function $g$ is differentiable over the domain $\R$ and satisfies $g(2) = g(4) = a$ and $g'(2) = g'(4) = b$ .

Given that $p(x) = g(x)\,g(2x)$ , then $p'(2)$ must be equal to

1 mark

A

ab

B

2ab

C

3ab

D

a^2 + b^2

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