Question 1 - A-Level Maths

OCR MEI C2 2007 January — Question 1 2 marks

Exam Board	OCR MEI
Module	C2 (Core Mathematics 2)
Year	2007
Session	January
Marks	2
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Tangents, normals and gradients
Type	Find derivative after algebraic simplification (fractional/mixed powers)
Difficulty	Easy -1.8 This is a straightforward application of the power rule to a single term plus a constant, requiring only basic recall of differentiation rules with no problem-solving or multi-step reasoning. It's simpler than typical A-level questions which usually involve multiple parts or require combining techniques.
Spec	1.07i Differentiate x^n: for rational n and sums

1 Differentiate \(6 x ^ { \frac { 5 } { 2 } } + 4\).

Show mark scheme Show mark scheme source

Question 1:

Answer	Marks	Guidance
\(\frac{dy}{dx} = 15x^{\frac{3}{2}}\)	B1	Correct coefficient
\(+ 0\) (constant disappears)	B1	Accept \(15x^{1.5}\); ignore \(+4\) becoming 0 if dy/dx stated

## Question 1:
$\frac{dy}{dx} = 15x^{\frac{3}{2}}$ | B1 | Correct coefficient
$+ 0$ (constant disappears) | B1 | Accept $15x^{1.5}$; ignore $+4$ becoming 0 if dy/dx stated

---

Show LaTeX source

1 Differentiate $6 x ^ { \frac { 5 } { 2 } } + 4$.

\hfill \mbox{\textit{OCR MEI C2 2007 Q1 [2]}}

This paper (13 questions)

View full paper

Q1 2 Q2 3 Q3 3 Q4 3 Q5 5 Q6 4 Q7 3 Q8 5 Q9 4 Q10 4 Q11 12 Q12 12 Q13 12