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Mathematical Methods — Question 2

QCAA 2024, Paper 1 · 1 mark

Q2 · 2024 · Technology-freeSimple familiar1 mark

QUESTION 2

If

y=e^{\sin x}

, then

\frac{dy}{dx}

is

(A)

e^{\sin x}\cos x

(B)

e^{\cos x}\sin x

(C)

e^{\sin x}\sin x

(D)

e^{\cos x}\cos x

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer A

1 mark

ANSWER

A —

e^{\sin x}\cos x

Worked solution

Chain rule:

d(e^{\sin x})/dx=e^{\sin x}\cos x

; A.

Selects option A.

[1 mark]

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

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