AP Calculus AB Unit 2 Review

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

• Average Rate of Change
• Average Value of f
• Intermediate Value Theorem
• Rolle's Theorem

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

If the position of a particle is represented by s(t) = -t² + 1, what is its position at t = 1? 

• Position = 0
• Position = 1
• Position = 2
• Position = -1 

Tags

CCSS.6.EE.B.5

• position
• acceleration
• total distance
• speed

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSN.VM.A.3

• position
• velocity
• acceleration
• total distance

Tags

CCSS.HSF.IF.B.4

• position 
• velocity
• acceleration
• total distance

Tags

CCSS.HSN.VM.A.3

CCSS.HSN.VM.A.1

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• dy
• dy/dx

Find f'(x) if f(x)=x²

• 2x
• x²
• 2
• 2x²

Tags

CCSS.HSF.IF.A.2

How do you find horizontal tangent lines?

• Find where the derivative is undefined
• Find where the derivative equals zero
• Find where the derivative is 1
• Find where the derivative is negative

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato