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Mathematical Methods — Question 1

QCAA 2023, Paper 2 · 1 mark

Q1 · 2023 · Technology-activeSimple familiar1 mark

QUESTION 1

For

f(x)=\sin(3x)

,

f'(\frac\pi8)

is closest to

(A)

2.772

(B)

1.148

(C)

0.929

(D)

0.383

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer B

1 mark

ANSWER

B —

1.148

Worked solution

f'=3\cos(3x)

, so

f'(\pi/8)=3\cos(3\pi/8)\approx1.148

; B.

Selects option B.

[1 mark]

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

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