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Calculus / University Calculus: Early Transcendentals 2 / Chapter 4.4 / Problem 65E

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

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Each of Exercises 59–80 gives the first

Chapter 4, Problem 65E

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QUESTION:

Each of Exercises $59-80$ gives the first derivative of a continuous function $y=f(x)$ . Find ${y}^{''}$ and then use steps $2-4$ of the graphing procedure on page 240 to sketch the general shape of the graph of $f$ .

${y}^{'}=\left({8x-5{x}^{2}}\right)(4-x{)}^{2}$

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QUESTION:

Each of Exercises $59-80$ gives the first derivative of a continuous function $y=f(x)$ . Find ${y}^{''}$ and then use steps $2-4$ of the graphing procedure on page 240 to sketch the general shape of the graph of $f$ .

${y}^{'}=\left({8x-5{x}^{2}}\right)(4-x{)}^{2}$

ANSWER:

SOLUTION

Step 1 of 5

Here, we have to find $y''$ and use the steps of the graphing procedure to sketch the general shape of the graph of the function f.

$y'=(8x-5{x}^{2})(4-x{)}^{2}$

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