| Date | May Specimen | Marks available | 1 | Reference code | SPM.1.sl.TZ0.5 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Write down | Question number | 5 | Adapted from | N/A |
Question
Consider the graph of the function \(y = f(x)\) defined below.
Write down all the labelled points on the curve
that are local maximum points;
[1]
a.
where the function attains its least value;
[1]
b.
where the function attains its greatest value;
[1]
c.
where the gradient of the tangent to the curve is positive;
[1]
d.
where \(f(x) > 0\) and \(f'(x) < 0\) .
[2]
e.
Markscheme
B, F (C1)
a.
H (C1)
b.
F (C1)
c.
A, E (C1)
d.
C (C2)
e.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
[N/A]
d.
[N/A]
e.
Syllabus sections
Topic 7 - Introduction to differential calculus » 7.3 » Gradients of curves for given values of \(x\).
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