AP Calculus Review - Limits, Derivatives, and Integrals

Evaluate the limit

• a
• b
• c
• d

Evaluate the limit

• a
• b
• c
• d

Find the equation of the line tangent to the function at the given point

• a
• b
• c
• d

What is the derivative of csc(x)?

• csc(x)cot(x)
• -csc(x)cot(x)
• -csc²(x) 
• -cot²(x)

Find h'(3)

• -2
• 0
• 1
• 3

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find the value for that makes f(x) continuous.

• 0

• 1

• 1.5

• 2

• No such value exists

Tags

CCSS.HSA.REI.D.11

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year
• 8 inches per year
• 2 years
• 4 inches per year

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

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