Easy -1.2 This is a straightforward differentiation question requiring only the power rule to find dy/dx = 4x - 12, then substitution of x = 5 to get gradient = 8. It's a single-technique, routine calculus exercise with no problem-solving element, making it easier than average but not trivial since it requires correct application of differentiation.
The curve \(C\) has equation
$$y = 2x^2 - 12x + 16$$
Find the gradient of the curve at the point \(P (5, 6)\).
(Solutions based entirely on graphical or numerical methods are not acceptable.)
[4]
M1: Attempts to substitute x = 5 into their derived function
A1ft: Substitutes x = 5 into their derived function correctly i.e. Correct calculation of their
f ′(5) so follow through slips in differentiation
Answer
Marks
Guidance
Question
Scheme
Marks
Question 2:
2 | Attempt to differentiate | M1 | 1.1a
dy
(cid:32)4x(cid:16)12
dx | A1 | 1.1b
dy
Substitutes x(cid:32)5 (cid:159) (cid:32)...
dx | M1 | 1.1b
dy
(cid:159) (cid:32)8
dx | A1ft | 1.1b
(4 marks)
Notes:
M1: Differentiation implied by one correct term
A1: Correct differentiation
M1: Attempts to substitute x = 5 into their derived function
A1ft: Substitutes x = 5 into their derived function correctly i.e. Correct calculation of their
f ′(5) so follow through slips in differentiation
Question | Scheme | Marks | AOs
The curve $C$ has equation
$$y = 2x^2 - 12x + 16$$
Find the gradient of the curve at the point $P (5, 6)$.
(Solutions based entirely on graphical or numerical methods are not acceptable.)
[4]
\hfill \mbox{\textit{Edexcel AS Paper 1 Q2 [4]}}