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Methods2025 NHT Exam 2 Section A · Q10CAS active1 mark

Derivative of a composite function

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Let $f(x) = e^{2x+3}$ , $g(x) = x^2 + 2x - 3$ , and $h(x) = g\left(f(x)\right)$ .

Then $h'(x)$ is equal to

1 mark

A

4f(x)\left(f(x)+1\right)

B

g'\left(f(x)\right)

C

16f(2x)f(x)

D

4g(x)+4f(x)

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