(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 (2x² – 1)(x² + 3) , f(x)* x² + 1 2x 1[(2x² – 1)(x² + 3) ] x2 + 1, 4x is f'(x) = l2x2 2x + x2 + 3 1 x² + 1 and (x² + 8)" (2 – 3x²)* Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you [ (x² + 8)" Ix² + 82 – 3x²] [(2 – 3x²)*| 14x 30x that the first derivative of g(x) : is g'(x) = confirm whether his brother is right, wrong or a little tipsy. (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 - 2r + 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you answer question 1 and 2 please?

(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
(2x? – 1)(x² + 3) ,
f(x)
x2 +1
-
2x 1[(2x? – 1)(x? + 3)
x² + 1
4x
2x
+
x2 + 3
is f'(x) =
2x2 - 1
x? +1
and
(x² + 8)"
[|(x² + 8)7
2- 3x2] |(2 – 3x2)5
14x
30x
that the first derivative of g(x)
(2 – 3x-)5 is g'(x) =
x² + 8
Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you
confirm whether his brother is right, wrong or a little tipsy.
(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
2r + 5
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 (2x? – 1)(x² + 3) , f(x) x2 +1 - 2x 1[(2x? – 1)(x? + 3) x² + 1 4x 2x + x2 + 3 is f'(x) = 2x2 - 1 x? +1 and (x² + 8)" [|(x² + 8)7 2- 3x2] |(2 – 3x2)5 14x 30x that the first derivative of g(x) (2 – 3x-)5 is g'(x) = x² + 8 Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you confirm whether his brother is right, wrong or a little tipsy. (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 2r + 5
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