Differentiation Rules

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

Which rule would you need to use?

• Power Rule
• Product Rule
• Quotient Rule
• Chain Rule

Find the derivative of this function

• (8x³ -60x/(2x²-5)²
• 16x⁴/(2x²-5)²
• (8x⁴ -60x²)/(2x²-5)²
• 3x/(2x²-5)²

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following is NOT one of Santa's original reindeer?

• Dasher
• Blitzen
• Rudolph
• Vixen

Which of the following is NOT one of the four basic food groups for Elves?

• Candy
• Candy Canes
• Powdered Candy
• Syrup

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

Tags

CCSS.HSA.APR.A.1

What was the gift given on the 7th day of Christmas?

• Lords a leaping
• Swans a swimming
• Golden rings
• Drummers drumming

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

• y = 500x + 400
• y = 100x + 400
• y = -500 x - 400
• y = 500x - 400

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

Where does Kevin McAlister's family go in Home Alone?

• Florida
• Paris
• New York
• London