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Mathematical Methods — Question 6

QCAA 2024, Paper 2 · 1 mark

Q6 · 2024 · Technology-activeSimple familiar1 mark

QUESTION 6

Determine the derivative of

y=2x\cos(3x)

.

(A)

2\cos(3x)-6x\sin(3x)

(B)

2\cos(3x)+6x\sin(3x)

(C)

-6\sin(3x)

(D)

-2\sin(3x)

ABCD

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WORKED SOLUTION

Answer A

1 mark

ANSWER

A —

2\cos(3x)-6x\sin(3x)

Worked solution

By the product rule,

y'=2\cos(3x)+2x[-3\sin(3x)]=2\cos(3x)-6x\sin(3x)

, so option A.

Selects option A.

[1 mark]

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

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