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Differentiation of exponential and logarithmic functions — Question 11

Original QCE Vault practice · 1 mark

Q11 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 11

If

g(x)=\ln(3x^2+1)

, then

g'(x)

is

(A)

\frac{1}{3x^2+1}

(B)

\frac{3x}{3x^2+1}

(C)

\frac{6}{3x^2+1}

(D)

\frac{6x}{3x^2+1}

ABCD

Question linkSyllabus coverage

WORKED SOLUTION

Answer D

1 mark

ANSWER

D

Worked solution

Use

\frac{d}{dx}\ln u=u'/u

with

u=3x^2+1

.

Selects the correct option.

[1 mark]

Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.

View the QCAA syllabus

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