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Mathematical Methods — Question 7

QCAA 2025, Paper 1 · 1 mark

Q7 · 2025 · Technology-freeSimple familiar1 mark

QUESTION 7

Determine

\dfrac{d}{dx}e^{4x+3}

.

(A)

e^{4x+3}

(B)

\frac14e^{4x+3}

(C)

4e^{4x+3}

(D)

(4x+3)e^{4x+3}

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer C

1 mark

ANSWER

C —

4e^{4x+3}

Worked solution

By the chain rule,

\frac{d}{dx}e^{4x+3}=4e^{4x+3}

, so option C.

Selects option C.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.

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