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Date November 2017 Marks available 3 Reference code 17N.1.sl.TZ0.14
Level SL only Paper 1 Time zone TZ0
Command term Find Question number 14 Adapted from N/A

Question

A function f is given by f(x)=4x3+3x23, x0.

Write down the derivative of f.

[3]
a.

Find the point on the graph of f at which the gradient of the tangent is equal to 6.

[3]
b.

Markscheme

12x26x3 or equivalent     (A1)(A1)(A1)     (C3)

 

Note:     Award (A1) for 12x2, (A1) for 6 and (A1) for 1x3 or x3. Award at most (A1)(A1)(A0) if additional terms seen.

 

[3 marks]

a.

12x26x3=6     (M1)

 

Note:     Award (M1) for equating their derivative to 6.

 

(1, 4)ORx=1, y=4     (A1)(ft)(A1)(ft)     (C3)

 

Note:     A frequent wrong answer seen in scripts is (1, 6) for this answer with correct working award (M1)(A0)(A1) and if there is no working award (C1).

 

[3 marks]

b.

Examiners report

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

Syllabus sections

Topic 7 - Introduction to differential calculus » 7.2 » The principle that f(x)=axnf(x)=anxn1 .
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