AP Calculus Exam 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

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

Tags

CCSS.6.SP.B.5C

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• f(a) - f(b)
• f(b) - f(a)
• f '(b) - f '(a)
• f '(a) - f '(b)

• Mean value theorem
• Rolle's theorem
• Intermediate Value Theorem
• Fundamental Theorem of Calculus

• speed
• acceleration
• displacement
• total distance

• Volume using Shells
• Volume using Disks
• Volume using Washers
• Volume using Cross Sections

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• A
• B
• C
• E

• 2/3
• 1
• 4/3
• 2

• position
• acceleration
• total distance
• speed