Problem Set D (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 4x (2x? - 1)(x? + 3) f(x) = x2 +1 [(2x2 – 1)(x² + 3) x2 +1 2х 2х -is f'(x) = + [2x2-1 х2 +3 х2 + 1] and [(x² + 8)" 2- 3x²] [(2 - 3x2)5] Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you (x? + 8)" 30x 14x + Lx* + 8 that the first derivative of g(x) = (2- 3x-)5 is g'(x) = confirm whether his brother is right, wrong or a little tipsy.
Problem Set D (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 4x (2x? - 1)(x? + 3) f(x) = x2 +1 [(2x2 – 1)(x² + 3) x2 +1 2х 2х -is f'(x) = + [2x2-1 х2 +3 х2 + 1] and [(x² + 8)" 2- 3x²] [(2 - 3x2)5] Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you (x? + 8)" 30x 14x + Lx* + 8 that the first derivative of g(x) = (2- 3x-)5 is g'(x) = confirm whether his brother is right, wrong or a little tipsy.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Problem Set D
(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)(x? +3)
f(x) =
[(2x? -1) (х? + 3)
x2 +1
4x
2x
2x
x2 +1
is f'(x) =
[2x2 -1
x2 +3 x2 + 1]
and
(x² + 8)7
(2 – 3x*)*
Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you
[(x² + 8)"
2 – 3x] (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.
28
Mathematics for the Social Sciences 1, ECONI003 – Course Guide, Academic Year 2020/2021 - Semester 2
(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.
2r - 5
2r +5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd23d33ce-0f4b-4e78-8a7b-58fb2317eb92%2Fb304302d-3afd-4bc3-9886-5cdf40015b4c%2Fusvuwto_processed.png&w=3840&q=75)
Transcribed Image Text:Problem Set D
(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)(x? +3)
f(x) =
[(2x? -1) (х? + 3)
x2 +1
4x
2x
2x
x2 +1
is f'(x) =
[2x2 -1
x2 +3 x2 + 1]
and
(x² + 8)7
(2 – 3x*)*
Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you
[(x² + 8)"
2 – 3x] (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.
28
Mathematics for the Social Sciences 1, ECONI003 – Course Guide, Academic Year 2020/2021 - Semester 2
(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.
2r - 5
2r +5
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