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Mathematical Methods — Question 9

QCAA 2023, Paper 2 · 1 mark

Q9 · 2023 · Technology-activeSimple familiar1 mark

QUESTION 9

For

f(x)=e^{3x}(x+1)^2

,

f'(x)=a e^{3x}(x+1)

. The expression for

a

is

(A)

3x+5

(B)

3x+2

(C)

x+5

(D)

6x+5

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer A

1 mark

ANSWER

A —

3x+5

Worked solution

Product rule gives

f'=e^{3x}(x+1)[3(x+1)+2]=e^{3x}(x+1)(3x+5)

; A.

Selects option A.

[1 mark]

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

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