Limits, Derivatives and Particle Motion

Differentiate 1/x²

• 1/2x

• -2/x³

• 2x^-1

• -2x^-1

• not defined

• doesn't exist

• 2

• 0

• 1/11

• 15/11

• -1

• -1/11

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

• 2
• -4
• DNE
• -2

Tags

CCSS.HSF.IF.A.2

Find the derivative. f(x) = -8x^-3 + 5x

• f'(x) = -24x^-4 + 5
• f'(x) = 24x^-4 + 5
• f'(x) = 24x^-2 + 5
• f'(x) = 24x^-4 - 5

Tags

CCSS.7.EE.A.1

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Find the limit.

• 1/8

• 8

• -1/8

• DNE

Which graph is the derivative of the top graph?

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

At which x-value is f continuous but not differentiable?

• a
• b
• c
• d

Where is the graph not differentiable?

• x = -2, -1, 0, 1
• x = -2, -1, 1
• x = -2, -1
• x = -1, 

Tags

CCSS.8.F.A.3