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Date None Specimen Marks available 1 Reference code SPNone.2.sl.TZ0.2
Level SL only Paper 2 Time zone TZ0
Command term Write down Question number 2 Adapted from N/A

Question

Let f(x)=4xex23 , for 0x5 .

Find the x-intercepts of the graph of f .

[3]
a.

On the grid below, sketch the graph of f .


[3]
b.

Write down the gradient of the graph of f at x=3 .

[1]
c.

Markscheme

intercepts when f(x)=0     M1

(0.827, 0) (4.78, 0) (accept x=0.827, x=4.78 )     A1A1     N3

[3 marks]

a.


     A1A1A1     N3

Note: Award A1 for maximum point in circle, A1 for x-intercepts in circles, A1 for correct shape (y approximately greater than 3.14).

[3 marks]

b.

gradient is 1.28     A1     N1

[1 mark]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 6 - Calculus » 6.1 » Derivative interpreted as gradient function and as rate of change.
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