To use a CAS to find the derivative in example 5.

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.4, Problem 87E

a.

To determine

To use a CAS to find the derivative in example 5.

Expert Solution

45(t2)8(2t+1)10

Explanation of Solution

Given:

The given function is g(t)=(t22t+1)9

Calculation:

In wolfram alpha typing the following things give-

der((t2)/(2t+1))^9

The results will be-

45(t2)8(2t+1)10

The same answer as in example 5.

They usually give the most simplified answer on first time and sometimes list alternate forms below. So, there is no real need to use simplify command.

b.

To determine

To use a CAS to find the derivative in example 6.

Expert Solution

2(2x+1)4(x3x+1)3(17x3+6x29x+3)

Explanation of Solution

Given:

The given function in example 6 is f(x)=(2x+1)5(x3x+1)4

Calculation:

In wolfram alpha typing the following things give-

der((2x+1)^5/(x^3x+1)^4)

The results will be-

2(2x+1)4(x3x+1)3(17x3+6x29x+3)

The same answer as in example 6.

They usually give the most simplified answer on first time and sometimes list alternate forms below. So, there is no real need to use simplify command.

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