$(1$ point$)$

Use the given graph of the function $f$ to answer the following questions.

Answer Formats

Type your answers in interval notation.

Use $-$INF and INF to denote $-$ and $.$

Enter NONE if it is not positive $/$ negative.

If there is more than one interval, type your answer as a Answer Formats

Type your answers in interval notation.

Use $-$INF and INF to denote $-$ and $.$

Enter NONE if it is not positive $/$ negative.

If there is more than one interval, type your answer as a comma separated list. For example: $(a_1,b_1),(a_2,b_2).$

Part $1$: The First Derivative

Find the open interval$($s$)$ on which $f^{\text{'}}(x)$ is positive $/$ negative. Type your answers using interval notation.

$f^{\text{'}}(x)$ is positive: $$

$f^{\text{'}}(x)$ is negative: $$

Part $2$: The Second Derivative

Find the open interval$($s$)$ on which $f^{\text{'}\text{'}}(x)$ is positive $/$ negative. Type your answers using interval notation.

$f^{\text{'}\text{'}}(x)$ is positive: $$

$f^{\text{'}\text{'}}(x)$ is negative: $$

Note: You can click on the graph to enlarge the image.

Note: You can earn partial credit on this problem.

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$$comma separated list. For example: $(a_1,b_1),(a_2,b_2).$

Part $1$: The First Derivative

Find the open interval$($s$)$ on which $f^{\text{'}}(x)$ is positive $/$ negative. Type your answers using interval notation.

$f^{\text{'}}(x)$ is positive: $$

$f^{\text{'}}(x)$ is Negative:

Find f$\text{'}\text{'}($x$)$ pos and negative as well.