AQA Paper 3 2024 June — Question 4 2 marks

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2024
SessionJune
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicDifferentiating Transcendental Functions
TypeDifferentiate general exponentials
DifficultyEasy -1.2 This is a straightforward differentiation question requiring only direct application of standard rules: power rule for x^4 and the exponential rule for 2^x. With just 2 marks and no problem-solving or manipulation required, it's easier than average—a routine drill exercise testing basic recall of differentiation formulas.
Spec1.07i Differentiate x^n: for rational n and sums1.07j Differentiate exponentials: e^(kx) and a^(kx)
A curve has equation \(y = x^4 + 2^x\) Find an expression for \(\frac{dy}{dx}\) [2 marks]
Question 4:
AnswerMarks Guidance
4Obtains one correct term 1.1a
= 4 x 3 + 2 x l n 2
d x
Obtains 4x3 +2 xln2
Condone 4 x 3 + l n 2  2 x
AnswerMarks Guidance
Do not ISW1.1b A1
Question 4 Total2
QMarking instructions AO 
Question 4:
4 | Obtains one correct term | 1.1a | M1 | d y
= 4 x 3 + 2 x l n 2
d x
Obtains 4x3 +2 xln2
Condone 4 x 3 + l n 2  2 x
Do not ISW | 1.1b | A1
Question 4 Total | 2
Q | Marking instructions | AO | Marks | Typical solution
A curve has equation $y = x^4 + 2^x$

Find an expression for $\frac{dy}{dx}$
[2 marks]

\hfill \mbox{\textit{AQA Paper 3 2024 Q4 [2]}}
This paper (19 questions)
View full paper
Q1 1 Q2 1 Q3 1 Q4 2 Q5 3 Q6 5 Q7 5 Q8 8 Q9 9 Q10 5 Q11 10 Q12 1 Q13 1 Q14 5 Q15 9 Q16 4 Q17 14 Q18 7 Q19 9