AQA Paper 1 2024 June — Question 6 2 marks

Exam BoardAQA
ModulePaper 1 (Paper 1)
Year2024
SessionJune
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicChain Rule
TypeChain rule with single composition
DifficultyEasy -1.2 This is a straightforward application of the chain rule to a single composite function with a polynomial inner function. It requires only one standard technique with no problem-solving or conceptual difficulty—simpler than average A-level questions which typically involve multiple steps or integration of techniques.
Spec1.07r Chain rule: dy/dx = dy/du * du/dx and connected rates
Use the chain rule to find \(\frac{dy}{dx}\) when \(y = (x^3 + 5x)^7\) [2 marks]
Question 6:
AnswerMarks
6Uses the chain rule to obtain
7 ( x3 +5x )6 f (x)
Or
g ( x ) ( 3 x 2 + 5 )
Where f ( x ) and g ( x ) are
polynomials of degree at least 1.
Condone incorrect or missing
AnswerMarks Guidance
brackets around their 3x2 +51.1a M1
=7 3x2 +5 x3 +5x
dx
( ) ( ) 6
Obtains 7 3 x 2 + 5 x 3 + 5 x
OE
AnswerMarks Guidance
ISW1.1b A1
Question 6 Total2
QMarking instructions AO 
Question 6:
6 | Uses the chain rule to obtain
7 ( x3 +5x )6 f (x)
Or
g ( x ) ( 3 x 2 + 5 )
Where f ( x ) and g ( x ) are
polynomials of degree at least 1.
Condone incorrect or missing
brackets around their 3x2 +5 | 1.1a | M1 | dy ( )( )6
=7 3x2 +5 x3 +5x
dx
( ) ( ) 6
Obtains 7 3 x 2 + 5 x 3 + 5 x
OE
ISW | 1.1b | A1
Question 6 Total | 2
Q | Marking instructions | AO | Marks | Typical solution
Use the chain rule to find $\frac{dy}{dx}$ when $y = (x^3 + 5x)^7$
[2 marks]

\hfill \mbox{\textit{AQA Paper 1 2024 Q6 [2]}}
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Q1 1 Q2 1 Q3 1 Q4 1 Q5 3 Q6 2 Q7 4 Q8 5 Q9 5 Q10 6 Q11 5 Q12 5 Q13 6 Q14 10 Q15 6 Q16 5 Q17 6 Q18 11 Q19 7 Q20 10