Test 3 Flashcards

1
Q

What is the derivative if the graph is increasing

A

f’(x) >0

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2
Q

What is the derivative if the graph is decreasing?

A

f’(x)<0

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3
Q

What is the derivative if the graph is neither decreasing or increasing?

A

f’(x)=0

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4
Q

If it is a parable concave down what does the f’(x) graph look like?

A

\

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5
Q

If it is a parable concave up what does the f’(x) graph look like?

A

/

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6
Q

What is the second derivative if the function is concave up?

A

f’‘(x)>0

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7
Q

What is the second derivative if the function is concave down?

A

f’‘(x) < 0

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8
Q

What is the second derivative if it is at a function’s inflection point?

A

f’‘(x)=0

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9
Q

What happens at the inflection point?

A

The concavity changes

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10
Q
A
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