Lesson 7: Second Derivatives Flashcards

1
Q
A

1a) The portion between a and d; the lower-right corner
1b) The portion between b and c; the upper-left corner
1c) The portion between c and d; the lower-left corner
1d) The portion between a and b; the upper-right corner

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2
Q

The following lists information about f(x), f’(x) and/or f’‘(x) at x=a. Based on this information, identify the point x=a as a local maximum, minimum, or neither for f(x) when possible.

A

Neither max nor min

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3
Q

The following lists information about f(x), f’(x) and/or f’‘(x) at x=a. Based on this information, identify the point x=a as a local maximum, minimum, or neither for f(x) when possible.

A

Local minimum

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4
Q

The following lists information about f(x), f’(x) and/or f’‘(x) at x=a. Based on this information, identify the point x=a as a local maximum, minimum, or neither for f(x) when possible.

A

Cannot determine; not enough information given

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5
Q

The following lists information about f(x), f’(x) and/or f’‘(x) at x=a. Based on this information, identify the point x=a as a local maximum, minimum, or neither for f(x) when possible.

A

Cannot determine; not enough information given

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6
Q

The following lists information about f(x), f’(x) and/or f’‘(x) at x=a. Based on this information, identify the point x=a as a local maximum, minimum, or neither for f(x) when possible.

A

Cannot determine; not enough information given

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7
Q

The following lists information about f(x), f’(x) and/or f’‘(x) at x=a. Based on this information, identify the point x=a as a local maximum, minimum, or neither for f(x) when possible.

A

Local maximum

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8
Q

The following lists information about f(x), f’(x) and/or f’‘(x) at x=a. Based on this information, identify the point x=a as a local maximum, minimum, or neither for f(x) when possible.

A

Niether max nor min

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9
Q

The equation f(x) is given. Find f’‘(x).

A
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10
Q

The equation f(x) is given. Find f’‘(x).

A
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11
Q

The equation f(x) is given. Find f’‘(x).

A
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12
Q

The equation f(x) is given. Find f’‘(x).

A
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13
Q

The equation f(x) is given. Find f’‘(x).

A
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14
Q

The equation f(x) is given. Find f’‘(x).

A
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15
Q

The equation f(x) is given. Find f’‘(x).

A
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16
Q

Identify the intervals on which f(x) is concave and on which f(x) is convex.

A
17
Q

Identify the intervals on which f(x) is concave and on which f(x) is convex.

A
18
Q

Identify the intervals on which f(x) is concave and on which f(x) is convex.

A
19
Q

Identify the intervals on which f(x) is concave and on which f(x) is convex.

A