AP Calculus Review #1 (Limits and Derivatives)

What is the limit of the function as x approaches -4 from the left?

• 2
• -4
• DNE
• -2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Find f(2).

• 1
• -1
• 5
• DNE

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find the limit of the function as x approaches 2.

• 1
• -1
• 5
• DNE

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the limit of the function as x approaches 2⁺.

• 1
• -1
• 5
• DNE

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the limit?

• DNE
• Infinity
• 6
• 12

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the limit?

• DNE
• 2/3
• 1/4
• Infinity

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate 

• -7
• 0
• 1
• DNE

Find the derivative.

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.TF.A.2

What is the derivative of cot(x)?

• sec²(x)
• -sec²(x)
• csc²(x)
• -csc²(x)

What is the derivative of -cot(x)?

• -sec²(x)
• sec²(x)
• -csc²(x)
• csc²(x)