For what values of the constant
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Calculus, EXT1 C2 2022 HSC 12c
Find the equation of the tangent to the curve
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Calculus, EXT1 C2 2020 SPEC1 6
Let
- Show that
. (1 mark)
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- Hence, show that the graph of
has a point of inflection at . (2 marks)
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- Sketch the graph of
on the axes provided below. Label any asymptotes with their equations and the point of inflection with its coordinates. (2 marks)
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| a. | ||
b.
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Calculus, EXT1 C2 2020 HSC 13c
Suppose
The graph of
- Show that
. (4 marks)
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- Using part (i), or otherwise, show that
. (3 marks)
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Calculus, EXT1 C2 2019 HSC 3 MC
What is the derivative of
A.
B.
C.
D.
Calculus, EXT1 C2 2016 HSC 11c
Differentiate
Calculus, EXT1 C2 2007 HSC 1c
Differentiate
Calculus, EXT1 C2 2010 HSC 5b
Let
- By differentiating
, or otherwise, show that for . (3 marks)
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- Given that
is an odd function, sketch the graph . (1 mark)
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Show Worked Solution
♦ Mean mark 48%
MARKER’S COMMENT: The most common errors were not being able to differentiate
MARKER’S COMMENT: The most common errors were not being able to differentiate
| i. | ||
♦ Mean mark 35%
| ii. | |
