AP Calculus AB Midterm Review

Find the derivative of the given equation
f(x) = -4x

• f '(x) = 4
• f '(x) = x
• f '(x) = -4
• f '(x) = 0

If f(x) = x² + 12x + 32, determine the locations of horizontal tangent lines.

• x = 4 and 8
• x = -4 and -8
• x = 6
• x= -6

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the derivative of the given equation
f(x) = 1/x²

• f '(x) = 1/2x
• f '(x) = -2x
• f '(x) = 2x
• f '(x) = -2x^-3

Which of the following best describes the continuity at x = -3?

• Continuous
• Removable Discontinuity
• Non Removable Discontinuity
• Differentiable

Which of the following best describes the continuity at x = -4?

• Continuous
• Removable Discontinuity
• Non Removable Discontinuity
• Differentiable

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.7

Which of the following best describes the continuity at x = 5?

• Continuous
• Removable Discontinuity
• Non Removable Discontinuity
• f(x) = x + 3

Tags

CCSS.HSA.APR.B.2

Which of the following best describes the continuity at x = 0?

• Continuous
• Removable Discontinuity
• Infinite Discontinuity
• Jump Discontinuity

Tags

CCSS.HSA.REI.D.10

Find the value that makes the function continuous

• c = 1/3
• c = 3
• c = -3
• c = -1/3

Tags

CCSS.HSA.REI.D.10

Which of the following best describes the continuity at x = 0?

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

A function whose graph is otherwise continuous will fail to have a derivative at a point where the graph has a...

• corner, cusp, horizontal tangent, discontinuity
• corner, cusp, vertical tangent, continuity
• corner, cusp, vertical tangent, discontinuity
• corner, curve, vertical tangent, continuity