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Second Derivatives and Beyond

Second Derivatives and Beyond

Concave Up Exercises

Example 1

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

"f is concave up."

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

f is increasing.

Example 2

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

"f is concave up."

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

f is positive.

Example 3

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

"f is concave up."

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

' is increasing.

Example 4

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

"f is concave up."

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

' is positive.

Example 5

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

"f is concave up."

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

" is increasing.

Example 6

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

"f is concave up."

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

" is positive.

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