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Date May 2014 Marks available 1 Reference code 14M.1.sl.TZ2.13
Level SL only Paper 1 Time zone TZ2
Command term Label Question number 13 Adapted from N/A

Question

Consider the graph of the function f(x)=x3+2x25f(x)=x3+2x25.


Label the local maximum as AA on the graph.

[1]
a.

Label the local minimum as B on the graph.

[1]
b.

Write down the interval where f(x)<0.

[1]
c.

Draw the tangent to the curve at x=1 on the graph.

[1]
d.

Write down the equation of the tangent at x=1.

[2]
e.

Markscheme

 

correct label on graph     (A1)     (C1)

[1 mark]

a.

 

correct label on graph     (A1)     (C1)

[1 mark]

b.

1.33<x<0   (43<x<0)     (A1)     (C1)

[1 mark]

c.

 

tangent drawn at x=1 on graph     (A1)     (C1)

[1 mark]

d.

y=7x9     (A1)(A1)     (C2)

 

Notes: Award (A1) for 7, (A1) for 9.

If answer not given as an equation award at most (A1)(A0).

 

[2 marks]

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 » 7.5 » Local maximum and minimum points.
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