2/16 Connecting f, f', and f''

Which one of the following statements is always true?

• When a graph is increasing, its derivative is negative.

• When a graph is decreasing, so is its derivative.

• When a graph is decreasing, its derivative is negative.

• When a graph is increasing, so is its derivative.

Select the correct derivative of f(x).

• A.

• B.

• C.

• D.

• A

• B

• C

• D

7.

• (A)

• (B)

• (C)

• (D)

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

f' is given, which could be f?

• A
• B
• C

The derivative of a function is its

• Slope
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope?

• f'(x) < 0 (negative)
• f'(x) > 0 (positive)
• f'(x) is increasing
• Can't be determined

When f'(x) changes from positive to negative, there is(are) ...

• a maximum.
• a minimum.
• no extrema.

f' is given, which could be f?

• A
• B
• C