AQA Paper 1 2021 June — Question 2 1 marks

Exam BoardAQA
ModulePaper 1 (Paper 1)
Year2021
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicDifferentiating Transcendental Functions
TypeDifferentiate logarithmic functions
DifficultyEasy -1.8 This is a straightforward application of the chain rule to differentiate ln(5x), requiring only direct recall of a standard derivative formula. The multiple-choice format further reduces difficulty by eliminating the need to generate the answer independently.
Spec1.07l Derivative of ln(x): and related functions

2 Given that \(y = \ln ( 5 x )\) find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) Circle your answer. $$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } \quad \frac { \mathrm {~d} y } { \mathrm {~d} x } = \frac { 1 } { 5 x } \quad \frac { \mathrm {~d} y } { \mathrm {~d} x } = \frac { 5 } { x } \quad \frac { \mathrm {~d} y } { \mathrm {~d} x } = \ln 5$$

Question 2:
AnswerMarks Guidance
\(\frac{dy}{dx} = \frac{1}{x}\)B1 Circles correct answer; AO1.1b
## Question 2:

$\frac{dy}{dx} = \frac{1}{x}$ | B1 | Circles correct answer; AO1.1b

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2 Given that $y = \ln ( 5 x )$\\
find $\frac { \mathrm { d } y } { \mathrm {~d} x }$\\
Circle your answer.

$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x } \quad \frac { \mathrm {~d} y } { \mathrm {~d} x } = \frac { 1 } { 5 x } \quad \frac { \mathrm {~d} y } { \mathrm {~d} x } = \frac { 5 } { x } \quad \frac { \mathrm {~d} y } { \mathrm {~d} x } = \ln 5$$

\hfill \mbox{\textit{AQA Paper 1 2021 Q2 [1]}}