AP Calculus AB Semester 1 Review

Find the limit of the function as x approaches 2.

• 1
• -1
• 5
• DNE

What is the limit?

• DNE
• Infinity
• 6
• 12

What is the limit?

• DNE
• 2/3
• 1/4
• Infinity

Evaluate 

• -7
• 0
• 1
• DNE

Differentiate f(x) =(2/x⁵) - 5.

• x⁵-3
• -10x⁶ 
• x⁵-5
• -10x^-6 

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

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

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

Tags

CCSS.HSF.IF.B.4

 If (a,b) is a local minimum, then what will be true about f'(a)?

• It's positive
• It's negative
• It's zero
• Cannot be determined

What will be true at an inflection point?  (select the best answer)

• f(x)=0
• f'(x)=0
• f''(x)=0
• The function is undefined

• Mean value theorem
• Instantaneous Rate of Change
• Intermediate Value Theorem
• Fundamental Theorem of Calculus