First Derivative Test Review

• 4

• -6

• 6

• -4

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

• The function is increasing

• The function is decreasing

• The function is constant

• Neither increasing nor decreasing

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

• The function is increasing
• The function is decreasing
• The function is concave up
• The function is concave down

How many extrema are in the picture?

• 2
• 3
• 4
• 5

If f"(x) < 0, what is true about f(x)?

• it is concave up there

• it has an inflection point

• It's zero

• it is concave down there

If f '(x) <0, what is true about f(x)?

• it is concave up there
• it's decreasing
• It's increasing
• it is concave down there

What is the equation of the line tangent to y= x²+2x-1 at x=1?

• y=2x
• y=4x-2
• y=4x
• y=2x-2

The velocity of an object is given as v = 2t + 3t³. what is the acceleration of the object at t = 2 s?

• 38 m/s/s
• 27 m/s/s
• 16 m/s/s
• 49 m/s/s

Use the sign chart for f'(x).  There is(are) ...

• a local maximum at x = -2.
• a local minimum at
  x = -2 and a local maximum at x = 4.
• a local maximum at
  x = -2 and a local minimum at x = 4.
• no extrema.