(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), 4х 2х |2x² – 1 x2 + 3 x2 + 1] [(2x2 1) (х2 + 3) x2 +1 2x f(x) = -is f'(x) = x2 +1 and (x² + 8)7 (2 – 3x²)5 Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you 14x 30x [(x² + 8)7 that the first derivative of g(x) is g'(x) = 2 + 8*2– 3x²] [(2 – 3x²)³] %3! confirm whether his brother is right, wrong or a little tipsy.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 62E
icon
Related questions
icon
Concept explainers
Question
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
(2x² – 1)(x² + 3)
f(x) =
4x
2х 2х 1[(2x2— 1)(x? + 3)
is f'(x)
x2 +1
[2x2 - 1 х2 + 3 х2 + 1
x2 + 1
and
(x² + 8)7
(2 – 3x²)5
Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you
(x² + 8)7
(2 – 3x²)5]
14х
30х
that the first derivative of g(x) =
is g'(x) =
+ 8 ' 2 – 3x²]
confirm whether his brother is right, wrong or a little tipsy.
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 (2x² – 1)(x² + 3) f(x) = 4x 2х 2х 1[(2x2— 1)(x? + 3) is f'(x) x2 +1 [2x2 - 1 х2 + 3 х2 + 1 x2 + 1 and (x² + 8)7 (2 – 3x²)5 Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you (x² + 8)7 (2 – 3x²)5] 14х 30х that the first derivative of g(x) = is g'(x) = + 8 ' 2 – 3x²] confirm whether his brother is right, wrong or a little tipsy.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Application of Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage