Calculus 1st Semester Review

What is the derivative of ln(x)?

• xln(x)
• 1/x
• e^x
• ln(x+1)

The position of an object is given as a function of time by s(t) = 3t² + 5t³ - 2t

What is the acceleration of the object at time t = 2 s?

• 64 m/s/s

• 60 m/s/s

• 66 m/s/s

• 70 m/s/s

• (8x³sec²(2x⁴))/(tan(2x⁴))
• 1/(8x³sec²(2x⁴))
• 1/(tan(2x⁴))
• tan(2x⁴)

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

Name the type of discontinuity at x=2.

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2

Name the type discontinuity at x = 2.

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2

Where do you think the function is undefined?

• x = 0
• x = 4
• x = -4
• It's defined over all real numbers.

Where are the discontinuities?

• holes: x=-3

  asymptotes: x=-1

• holes: none

  asymptotes: x=-1

• holes: x=-1

  asymptotes: x=-3

• holes: x=-1

  asymptotes: none

Where are the discontinuities?

• holes: x=5

  asymptotes: x=3

• holes: x=3

  asymptotes: x=5

• holes: x=-5

  asymptotes: x=-3

• holes: x=-3

  asymptotes: x=-5

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the limit?

• DNE
• Infinity
• 6
• 12

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

• 1/5
• 1
• 5
• Does not exist