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## Transcribed Image Text: (1) A course repeater claims that his brother who did some Calculus at college years ago, but currently on some cough medication,

Academic Writing Advanced Maths Transcribed Image Text: (1) A course repeater claims that his brother who did some Calculus at college years ago, but currently on some cough medication,

# Transcribed Image Text: (1) A course repeater claims that his brother who did some Calculus at college years ago, but currently on some cough medication,

Transcribed Image Text: (1) A course repeater claims that his brother who did some Calculus at college years ago, but
currently on some cough medication, believes that the first derivative of
(2×2 – 1)(x² + 3)
f(x)
2х 1[(2х? – 1)(х? + 3)
2x
+
x2 + 3
4x
is f'(x) =
x2 +1
[2x² – 1
x2 + 1
x2 + 1
and
(x2 + 8)7
3x²)5]
Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you
(x² + 8)7
14x
30x
that the first derivative of g(x)
is g'(x) =
(2 – 3×2)5
[x² + 8 ‘ 2 – 3x²]
(2
confirm whether his brother is right, wrong or a little tipsy.
28
(2) In the following triangle below, the degree measures of the three interior angles and two
of the exterior angles are represented with variables and expressions.
(a) Find the size of each of the interior angle.
2x – 5
2x + 5

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