(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) [(2x? – 1)(x² + 3) 2х + |2x2 -1 х2 +3 4x 2x | f(x) -is f'(x) x? + 1 x2 + 1] x2 + 1 and (x² + 8)7 14х (x2 + 8)7 30х + 2 – 3x2] |(2 – 3x²)5 that the first derivative of g(x) is g'(x) = (2 — Зx?)5 lx² + 8 ' — Зх?)5] 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.

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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(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)
[(2x? – 1)(x² + 3)
2х
+
|2x2 -1 х2 +3
4x
2x
|
f(x)
-is f'(x)
x? + 1
x2 + 1]
x2 + 1
and
(x² + 8)7
14х
(x2 + 8)7
30х
+
2 – 3x2] |(2 – 3x²)5
that the first derivative of g(x)
is g'(x) =
(2 — Зx?)5
lx² + 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.
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 (2x² – 1)(x² + 3) [(2x? – 1)(x² + 3) 2х + |2x2 -1 х2 +3 4x 2x | f(x) -is f'(x) x? + 1 x2 + 1] x2 + 1 and (x² + 8)7 14х (x2 + 8)7 30х + 2 – 3x2] |(2 – 3x²)5 that the first derivative of g(x) is g'(x) = (2 — Зx?)5 lx² + 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.
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