`f(x) = sqrt(x + 5sin(x)), x<=20` Use a computer algebra system to graph `f` and to find `f'`

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Textbook Question

Chapter 4, 4.6 - Problem 19 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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tiburtius | High School Teacher | (Level 2) Educator

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We will solve the problem using Wolfram Mathematica (you can also use Wolfram Alpha which is free).

Graph of 

Plot[Sqrt[x + 5 Sin[x]], {x, -6, 20}]

By writing the above line of code we obtain the graph of  shown in the image below.


Simplify[D[Sqrt[x + 5 Sin[x]], x]]

In the code line above command Simplify is there to simplify the result obtained by differentiation.

The result is `(1 + 5 cos(x))/(2 sqrt(x + 5 sin(x)))`

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