Limits and derivatives

Which limit does not exist?

• 
• 
• None of them

• Both exist

Differentiate 1/x²

• 1/2x

• -2/x³

• 2x^-1

• -2x^-1

The equation of motion of a particle is s = 2t³ - 5t² + 3t + 4, which is the function of its acceleration?

• a(t) = 2t³ - 5t² + 3t + 4

• a(t) = 6t² - 10t + 3

• a(t) = 12t - 10

• a(t) = 12

Tags

CCSS.HSA.APR.A.1

• not defined

• doesn't exist

• 2

• 0

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

d/dx tan x =

• sec x tan x

• sec² x

• -sin x

• arctan x

• 1/11

• 15/11

• -1

• -1/11

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Evaluate

• -7
• 0
• 1
• DNE

What is the limit?

• ∞
• 20
• DNE
• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.1

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

• 2
• -4
• DNE
• -2

Tags

CCSS.HSA.REI.D.10

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x