Each of Exercises 59–80 gives the first

Chapter 4, Problem 80E

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QUESTION:

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

                                     \(y^{\prime}=\left\{\begin{array}{ll}-x^{2}, & x \leq 0 \\x^{2}, & x>0\end{array}\right.\)

Equation Transcription:

  {

Text Transcription:

y=f(x)

y''

f

y'= { -x^2, x ≤ 0    x^2,    x > 0                

Questions & Answers

QUESTION:

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

                                     \(y^{\prime}=\left\{\begin{array}{ll}-x^{2}, & x \leq 0 \\x^{2}, & x>0\end{array}\right.\)

Equation Transcription:

  {

Text Transcription:

y=f(x)

y''

f

y'= { -x^2, x ≤ 0    x^2,    x > 0                

ANSWER:

SOLUTION:

Step 1 of 6:

In this question, the first derivative of a continuous function  is . Find  and then use steps 2–4 of the graphing procedure on page 240 to sketch the general shape of the graph of .

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