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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
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Computer algebra systems have commands that differentiate functions, but the form of the answer may not be convenient and so further commands may be necessary to simplify the answer.

(a) Use a CAS to find the derivative in Example 5 and compare with the answer in that example. Then use the simplify command and compare again.

(b) Use a CAS to find the derivative in Example 6. What happens if you use the simplify command? What happens if you use the factor command? Which form of the answer would be best for locating horizontal tangents?

To determine

(a)

To find:

The derivative of gt= t-22t+19

Explanation

Use Maple or Mathematica or any other utility to find the derivative of the given function.

Given:

gt= t-22t+19

Calculation:

Using Mathematica, first answer is

Enter the input

g[t_]=t-2/2t+1^9  then press Shift + Enter

Output is: gt= t-22t+19

Now enter g'[t] press Shift + Enter to get the output

This will give the result,

g't=9 -2+t

To determine

(b)

To find:

The derivative of y=2x+15x3-x+14

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