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Second Derivatives and Beyond Exercises

Example 1

Determine if the statement is equivalent to (means the same thing as) the statement

"f is concave down."

Explain your answer (whether the statement is equivalent or not).

f is decreasing.

Example 2

Determine if the statement is equivalent to (means the same thing as) the statement

"f is concave down."

Explain your answer (whether the statement is equivalent or not).

f is negative.

Example 3

Determine if the statement is equivalent to (means the same thing as) the statement

"f is concave down."

Explain your answer (whether the statement is equivalent or not).

' is decreasing.

Example 4

Determine if the statement is equivalent to (means the same thing as) the statement

"f is concave down."

Explain your answer (whether the statement is equivalent or not).

' is negative.

Example 5

Determine if the statement is equivalent to (means the same thing as) the statement

"f is concave down."

Explain your answer (whether the statement is equivalent or not).

" is decreasing.

Example 6

Determine if the statement is equivalent to (means the same thing as) the statement

"f is concave down."

Explain your answer (whether the statement is equivalent or not).

" is negative.