Critical Points PostTest - Saturday AP Prep - 4/27

Match the following. #8

• where the 1st derivative equals 0 or is undefined.

• Critical points are...

• finding the slope of a tangent line.

• The 1st Derivative Test uses...

• the first derivative to determine if a critical point is a local extrema and if so what type.

• The 2nd Derivative Test uses...

• finding the area under a curve.

• Evaluating an integral means...

• the 2nd derivative to determine if a critical point is a local extrema and if so what type.

• Finding a derivative means...

Identify the critical points of the following function:
g(x)=2x³-3x²

• x=-1,1
• x=0,0
• x=0,-1
• x=0,1

• x=2

• x=0

• x= -4

• x= -2

• x = 4

For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.

• increasing
• decreasing
• concave up
• concave down

Tags

CCSS.HSF-BF.B.4A

If a function's FIRST derivative is negative at a certain point, what does that tell you?

• The function is increasing at that point
• The function is decreasing at that point
• The concavity of the function is up at that point
• The concavity of the function is down at that point

You created a sign chart as shown. At which x values is there a possible absolute maximum? (select all that apply)

• -1

• 0

• 3

• 5

• 7

• 0

• 1

• 2

• 3

• 4

• 0

• 1

• 2

• 3