AP Calculus

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF-IF.C.7D

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF-IF.C.7B

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the conditions that satisfy the mean value theorem, and what does it mean?

• Continuous on the open and differentiable on the closed, and then there is at least 2 numbers c and d in the interval (a,b) (that is a < c < b) such that

• Discontinuous on the closed and differentiable on the open, then there is at least one number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)

• Continuous on the closed and differentiable on the open,and then there is at least one number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)

• Continuous on the open and differentiable on the open, and then there is no number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)

Describe an integral

• Area above a curve

• Area below a curve

• Area above a curve minus area below a curve

• All of the above

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

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

What is the derivative of tan(x)?

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

Tags

CCSS.HSF.TF.B.7

What is the derivative of sec(x)?

• sec(x)tan(x)
• csc(x)cot(x)
• -sec(x)tan(x)
• -csc(x)cot(x)