Critical Numbers, Absolute & Relative Extrema

Which 'test' is used to find absolute extrema on a closed interval?

• First Derivative Test

• Candidate's Test

• 2nd Derivative Test

• 3rd Derivative Test

Which 'test(s)' can be used to identify a relative max/min?

• 1st Derivative Test

• 2nd Derivative Test

• Candidate's Test

• Both the 1st & 2nd Derivative Tests

How do I find a critical point on f(x)?

• When f'(x) = 0

• When f'(x) = 0 or is undefined

• When f'(x) is undefined

• When f''(x) = 0

What are critical points on a curve?

• The location of a maximum or minimum

• The location of a possible maximum or minimum

• Where there is a change in concavity

• The location of a critic :)

What is a point of inflection?

• Where there is a change in concavity

• A point that is reflective

• Where there is a relative maximum /minimum

• When there is an absolute maximum or minimum

'local' is the same as...

• parent

• sibling

• aunt

• relative

'global' means the same as... (in calculus)

• worldwide

• mr. worldwide

• pit bull

• absolute

If f''(x) < 0, the curve is

• Concave Up

• Concave Down

• Increasing

• Decreasing

If f''(x) > 0, the curve is...

• Concave Up

• Concave Down

• Increasing

• Decreasing

If f'(x) > 0, then f(x) is

• Concave Up

• Concave Down

• Increasing

• Decreasing