Question 1 - A-Level Maths

AQA Further Paper 2 2023 June — Question 1 1 marks

Exam Board	AQA
Module	Further Paper 2 (Further Paper 2)
Year	2023
Session	June
Marks	1
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Hyperbolic functions
Type	Second derivative relations with hyperbolics
Difficulty	Easy -1.8 This is a straightforward differentiation exercise requiring recall of standard derivatives: d(sin x)/dx = cos x, d(sinh x)/dx = cosh x, and their second derivatives. The calculation is mechanical with no problem-solving required, and despite being from Further Maths, it's a 1-mark multiple-choice question testing basic hyperbolic function knowledge.
Spec	4.07d Differentiate/integrate: hyperbolic functions

Given that \(y = \sin x + \sinh x\), find \(\frac{d^2y}{dx^2} + y\) Circle your answer. [1 mark] \(2\sin x\) \quad \(-2\sin x\) \quad \(2\sinh x\) \quad \(-2\sinh x\)

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Question 1:

Answer	Marks	Guidance
1	Circles correct answer	1.1b
Question total	1
Q	Marking Instructions	AO

Question 1:
1 | Circles correct answer | 1.1b | B1 | 2 sinh x
Question total | 1
Q | Marking Instructions | AO | Marks | Typical solution

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Given that $y = \sin x + \sinh x$, find $\frac{d^2y}{dx^2} + y$

Circle your answer.
[1 mark]

$2\sin x$ \quad $-2\sin x$ \quad $2\sinh x$ \quad $-2\sinh x$

\hfill \mbox{\textit{AQA Further Paper 2 2023 Q1 [1]}}

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Q1 1 Q2 1 Q3 1 Q4 1 Q5 5 Q6 5 Q7 3 Q8 6 Q9 7 Q10 8 Q11 9 Q12 6 Q13 11 Q14 10 Q15 10 Q16 16