Question 1 - A-Level Maths

Exam Board	OCR MEI
Module	C2 (Core Mathematics 2)
Year	2005
Session	January
Marks	3
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 basic differentiation rules (power rule) requiring only two terms with standard powers. It's simpler than average A-level questions as it involves pure recall with no problem-solving, context, or multi-step reasoning.
Spec	1.07i Differentiate x^n: for rational n and sums

1 Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) when \(y = x ^ { 6 } + \sqrt { x }\).

$6x^5 + \frac{1}{4}x^{-\frac{1}{2}}$ o.e. | B1 | 
$6x^5$ | B1 | 
$x^{-\frac{1}{2}}$ | B1 | 
$\frac{1}{2}x^{-1}$ isw | B1 | 
| | 3 marks |

1 Find $\frac { \mathrm { d } y } { \mathrm {~d} x }$ when $y = x ^ { 6 } + \sqrt { x }$.

\hfill \mbox{\textit{OCR MEI C2 2005 Q1 [3]}}