Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 15, Problem 32SGA

To determine

To Find: The derivative of the given function using rules of derivative.

Expert Solution & Answer

Answer to Problem 32SGA

3x2−18x+12

Explanation of Solution

Given:

f(x)=(x−2)3

Formula Used:

Power Rule: If f(x)=xn then f′(x)=nxn−1

Calculation:

f(x)=(x−2)3⇒f′(x)=3(x−2)3−1⇒f′(x)=3(x−2)2=3(x2+4−6x)⇒f′(x)=3x2−18x+12

Conclusion:

Thus the required solution of the given function is 3x2−18x+12

Chapter 15, Problem 31SGA

Chapter 15, Problem 33SGA

Chapter 15 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 15.1 - Prob. 1GCE Ch. 15.1 - Prob. 2GCE Ch. 15.1 - Prob. 3GCE Ch. 15.1 - Prob. 4GCE Ch. 15.1 - Prob. 5GCE Ch. 15.1 - Prob. 1CFU Ch. 15.1 - Prob. 2CFU Ch. 15.1 - Prob. 3CFU Ch. 15.1 - Prob. 4CFU Ch. 15.1 - Prob. 5CFU

Ch. 15.1 - Prob. 6CFU Ch. 15.1 - Prob. 7CFU Ch. 15.1 - Prob. 8CFU Ch. 15.1 - Prob. 9CFU Ch. 15.1 - Prob. 10CFU Ch. 15.1 - Prob. 11CFU Ch. 15.1 - Prob. 12E Ch. 15.1 - Prob. 13E Ch. 15.1 - Prob. 14E Ch. 15.1 - Prob. 15E Ch. 15.1 - Prob. 16E Ch. 15.1 - Prob. 17E Ch. 15.1 - Prob. 18E Ch. 15.1 - Prob. 19E Ch. 15.1 - Prob. 20E Ch. 15.1 - Prob. 21E Ch. 15.1 - Prob. 22E Ch. 15.1 - Prob. 23E Ch. 15.1 - Prob. 24E Ch. 15.1 - Prob. 25E Ch. 15.1 - Prob. 26E Ch. 15.1 - Prob. 27E Ch. 15.1 - Prob. 28E Ch. 15.1 - Prob. 29E Ch. 15.1 - Prob. 30E Ch. 15.1 - Prob. 31E Ch. 15.1 - Prob. 32E Ch. 15.1 - Prob. 33E Ch. 15.1 - Prob. 34E Ch. 15.1 - Prob. 35E Ch. 15.1 - Prob. 36E Ch. 15.1 - Prob. 37E Ch. 15.1 - Prob. 38E Ch. 15.1 - Prob. 39E Ch. 15.1 - Prob. 40E Ch. 15.1 - Prob. 41E Ch. 15.1 - Prob. 42E Ch. 15.1 - Prob. 43E Ch. 15.1 - Prob. 44E Ch. 15.1 - Prob. 45E Ch. 15.1 - Prob. 46E Ch. 15.1 - Prob. 47E Ch. 15.1 - Prob. 48E Ch. 15.1 - Prob. 49E Ch. 15.1 - Prob. 50E Ch. 15.1 - Prob. 51E Ch. 15.1 - Prob. 52E Ch. 15.1 - Prob. 53E Ch. 15.1 - Prob. 54E Ch. 15.1 - Prob. 55E Ch. 15.1 - Prob. 56E Ch. 15.1 - Prob. 57E Ch. 15.1 - Prob. 58E Ch. 15.2A - Prob. 1GCE Ch. 15.2A - Prob. 2GCE Ch. 15.2A - Prob. 3GCE Ch. 15.2A - Prob. 4GCE Ch. 15.2A - Prob. 5GCE Ch. 15.2A - Prob. 6GCE Ch. 15.2A - Prob. 7GCE Ch. 15.2A - Prob. 8GCE Ch. 15.2A - Prob. 9GCE Ch. 15.2 - Prob. 1CFU Ch. 15.2 - Prob. 2CFU Ch. 15.2 - Prob. 3CFU Ch. 15.2 - Prob. 4CFU Ch. 15.2 - Prob. 5CFU Ch. 15.2 - Prob. 6CFU Ch. 15.2 - Prob. 7CFU Ch. 15.2 - Prob. 8CFU Ch. 15.2 - Prob. 9CFU Ch. 15.2 - Prob. 10CFU Ch. 15.2 - Prob. 11CFU Ch. 15.2 - Prob. 12CFU Ch. 15.2 - Prob. 13CFU Ch. 15.2 - Prob. 14E Ch. 15.2 - Prob. 15E Ch. 15.2 - Prob. 16E Ch. 15.2 - Prob. 17E Ch. 15.2 - Prob. 18E Ch. 15.2 - Prob. 19E Ch. 15.2 - Prob. 20E Ch. 15.2 - Prob. 21E Ch. 15.2 - Prob. 22E Ch. 15.2 - Prob. 23E Ch. 15.2 - Prob. 24E Ch. 15.2 - Prob. 25E Ch. 15.2 - Prob. 26E Ch. 15.2 - Prob. 27E Ch. 15.2 - Prob. 28E Ch. 15.2 - Prob. 29E Ch. 15.2 - Prob. 30E Ch. 15.2 - Prob. 31E Ch. 15.2 - Prob. 32E Ch. 15.2 - Prob. 33E Ch. 15.2 - Prob. 34E Ch. 15.2 - Prob. 35E Ch. 15.2 - Prob. 36E Ch. 15.2 - Prob. 37E Ch. 15.2 - Prob. 38E Ch. 15.2 - Prob. 39E Ch. 15.2 - Prob. 40E Ch. 15.2 - Prob. 41E Ch. 15.2 - Prob. 42E Ch. 15.2 - Prob. 43E Ch. 15.2 - Prob. 44E Ch. 15.2 - Prob. 45E Ch. 15.2 - Prob. 46E Ch. 15.2 - Prob. 47E Ch. 15.2 - Prob. 48E Ch. 15.2 - Prob. 49E Ch. 15.2 - Prob. 50E Ch. 15.2 - Prob. 51E Ch. 15.2 - Prob. 52E Ch. 15.2 - Prob. 53E Ch. 15.2 - Prob. 54E Ch. 15.2 - Prob. 55E Ch. 15.2 - Prob. 56E Ch. 15.2 - Prob. 57E Ch. 15.2 - Prob. 58E Ch. 15.2 - Prob. 59E Ch. 15.2 - Prob. 60E Ch. 15.2 - Prob. 61E Ch. 15.2 - Prob. 62E Ch. 15.2 - Prob. 63E Ch. 15.2 - Prob. 1MCQ Ch. 15.2 - Prob. 2MCQ Ch. 15.2 - Prob. 3MCQ Ch. 15.2 - Prob. 4MCQ Ch. 15.2 - Prob. 5MCQ Ch. 15.2 - Prob. 6MCQ Ch. 15.2 - Prob. 7MCQ Ch. 15.2 - Prob. 8MCQ Ch. 15.2 - Prob. 9MCQ Ch. 15.2 - Prob. 10MCQ Ch. 15.3 - Prob. 1CFU Ch. 15.3 - Prob. 2CFU Ch. 15.3 - Prob. 3CFU Ch. 15.3 - Prob. 4CFU Ch. 15.3 - Prob. 5CFU Ch. 15.3 - Prob. 6CFU Ch. 15.3 - Prob. 7CFU Ch. 15.3 - Prob. 8CFU Ch. 15.3 - Prob. 9CFU Ch. 15.3 - Prob. 10E Ch. 15.3 - Prob. 11E Ch. 15.3 - Prob. 12E Ch. 15.3 - Prob. 13E Ch. 15.3 - Prob. 14E Ch. 15.3 - Prob. 15E Ch. 15.3 - Prob. 16E Ch. 15.3 - Prob. 17E Ch. 15.3 - Prob. 18E Ch. 15.3 - Prob. 19E Ch. 15.3 - Prob. 20E Ch. 15.3 - Prob. 21E Ch. 15.3 - Prob. 22E Ch. 15.3 - Prob. 23E Ch. 15.3 - Prob. 24E Ch. 15.3 - Prob. 25E Ch. 15.3 - Prob. 26E Ch. 15.3 - Prob. 27E Ch. 15.3 - Prob. 28E Ch. 15.3 - Prob. 29E Ch. 15.3 - Prob. 30E Ch. 15.3 - Prob. 31E Ch. 15.3 - Prob. 32E Ch. 15.3 - Prob. 33E Ch. 15.3 - Prob. 34E Ch. 15.3 - Prob. 35E Ch. 15.3 - Prob. 36E Ch. 15.3 - Prob. 37E Ch. 15.3 - Prob. 38E Ch. 15.3 - Prob. 39E Ch. 15.3 - Prob. 40E Ch. 15.3 - Prob. 41E Ch. 15.4 - Prob. 1CFU Ch. 15.4 - Prob. 2CFU Ch. 15.4 - Prob. 3CFU Ch. 15.4 - Prob. 4CFU Ch. 15.4 - Prob. 5CFU Ch. 15.4 - Prob. 6CFU Ch. 15.4 - Prob. 7CFU Ch. 15.4 - Prob. 8CFU Ch. 15.4 - Prob. 9CFU Ch. 15.4 - Prob. 10CFU Ch. 15.4 - Prob. 11CFU Ch. 15.4 - Prob. 12CFU Ch. 15.4 - Prob. 13CFU Ch. 15.4 - Prob. 14CFU Ch. 15.4 - Prob. 15E Ch. 15.4 - Prob. 16E Ch. 15.4 - Prob. 17E Ch. 15.4 - Prob. 18E Ch. 15.4 - Prob. 19E Ch. 15.4 - Prob. 20E Ch. 15.4 - Prob. 21E Ch. 15.4 - Prob. 22E Ch. 15.4 - Prob. 23E Ch. 15.4 - Prob. 24E Ch. 15.4 - Prob. 25E Ch. 15.4 - Prob. 26E Ch. 15.4 - Prob. 27E Ch. 15.4 - Prob. 28E Ch. 15.4 - Prob. 29E Ch. 15.4 - Prob. 30E Ch. 15.4 - Prob. 31E Ch. 15.4 - Prob. 32E Ch. 15.4 - Prob. 33E Ch. 15.4 - Prob. 34E Ch. 15.4 - Prob. 35E Ch. 15.4 - Prob. 36E Ch. 15.4 - Prob. 37E Ch. 15.4 - Prob. 38E Ch. 15.4 - Prob. 39E Ch. 15.4 - Prob. 40E Ch. 15.4 - Prob. 41E Ch. 15.4 - Prob. 42E Ch. 15.4 - Prob. 43E Ch. 15.4 - Prob. 44E Ch. 15.4 - Prob. 45E Ch. 15.4 - Prob. 46E Ch. 15.4 - Prob. 47E Ch. 15.4 - Prob. 48E Ch. 15.4 - Prob. 49E Ch. 15.4 - Prob. 50E Ch. 15.4 - Prob. 51E Ch. 15.4 - Prob. 52E Ch. 15.4 - Prob. 53E Ch. 15.4 - Prob. 54E Ch. 15.4 - Prob. 55E Ch. 15.4 - Prob. 56E Ch. 15.4 - Prob. 57E Ch. 15.4 - Prob. 58E Ch. 15.4 - Prob. 59E Ch. 15.4 - Prob. 60E Ch. 15 - Prob. 1SGA Ch. 15 - Prob. 2SGA Ch. 15 - Prob. 3SGA Ch. 15 - Prob. 4SGA Ch. 15 - Prob. 5SGA Ch. 15 - Prob. 6SGA Ch. 15 - Prob. 7SGA Ch. 15 - Prob. 8SGA Ch. 15 - Prob. 9SGA Ch. 15 - Prob. 10SGA Ch. 15 - Prob. 11SGA Ch. 15 - Prob. 12SGA Ch. 15 - Prob. 13SGA Ch. 15 - Prob. 14SGA Ch. 15 - Prob. 15SGA Ch. 15 - Prob. 16SGA Ch. 15 - Prob. 17SGA Ch. 15 - Prob. 18SGA Ch. 15 - Prob. 19SGA Ch. 15 - Prob. 20SGA Ch. 15 - Prob. 21SGA Ch. 15 - Prob. 22SGA Ch. 15 - Prob. 23SGA Ch. 15 - Prob. 24SGA Ch. 15 - Prob. 25SGA Ch. 15 - Prob. 26SGA Ch. 15 - Prob. 27SGA Ch. 15 - Prob. 28SGA Ch. 15 - Prob. 29SGA Ch. 15 - Prob. 30SGA Ch. 15 - Prob. 31SGA Ch. 15 - Prob. 32SGA Ch. 15 - Prob. 33SGA Ch. 15 - Prob. 34SGA Ch. 15 - Prob. 35SGA Ch. 15 - Prob. 36SGA Ch. 15 - Prob. 37SGA Ch. 15 - Prob. 38SGA Ch. 15 - Prob. 39SGA Ch. 15 - Prob. 40SGA Ch. 15 - Prob. 41SGA Ch. 15 - Prob. 42SGA Ch. 15 - Prob. 43SGA Ch. 15 - Prob. 44SGA Ch. 15 - Prob. 45SGA Ch. 15 - Prob. 46SGA Ch. 15 - Prob. 47SGA Ch. 15 - Prob. 48SGA Ch. 15 - Prob. 49SGA Ch. 15 - Prob. 50SGA Ch. 15 - Prob. 51SGA Ch. 15 - Prob. 52SGA Ch. 15 - Prob. 53SGA Ch. 15 - Prob. 1SAP Ch. 15 - Prob. 2SAP Ch. 15 - Prob. 3SAP Ch. 15 - Prob. 4SAP Ch. 15 - Prob. 5SAP Ch. 15 - Prob. 6SAP Ch. 15 - Prob. 7SAP Ch. 15 - Prob. 8SAP Ch. 15 - Prob. 9SAP Ch. 15 - Prob. 10SAP

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