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

To find the derivative of f(x) = xe^x you should use:

• The product rule

• The quotient rule

• The chain rule

• The power rule combined with the chain rule

d/dx cos x =

• sec x tan x

• sin x

• -sin x

• -cos x

d/dx tan x =

• sec x tan x

• sec² x

• -sin x

• arctan x

Differentiate y = (x³ - 1)¹⁰⁰

• 300x²(x³ - 1)⁹⁹

• 99(x³ - 1)⁹⁸

• 100(x³ - 1)⁹⁹

• 100(3x²)⁹⁹

• not defined

• doesn't exist

• 2

• 0

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.3

• 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

• 1

• 0

• ∞

• doesn't exist