Calc: The Chain Rule

Find h'(3)

• -2
• 0
• 1
• 3

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

What is the name of this Elf?

• Hermey

• Herman

• Buddy

• Jingles

Tags

CCSS.RI.11-12.8

CCSS.RI.9-10.7

CCSS.RL.11-12.8

CCSS.RL.8.7

CCSS.RL.9-10.7

d/dx (sin²x) = ?

• 2sin x
• 2(sin x)(cos x)
• 2cos x
• 2x(cos x)

Find y' if y = tan(3x²+2).

• sec²(3x²+2)
• 6xsec²(3x²+2)
• 6xsec²x(3x²+2)
• sec²(6x)

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.2

Which famous holiday movie character says the following, "The best way to spread Christmas cheer is singing loud for all to hear!"

• Santa Claus

• Rudolph the Red Nosed Reindeer

• Buddy the Elf

• Frosty the Snowman

Tags

CCSS.RL.2.6

CCSS.RL.8.3

When do you use the chain rule?

• anytime you want
• when there is a function in a function
• where there are multiple layers to a lasagna (yum)
• when there is division

Which rule would you need to use?

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

What holiday movie is this character from?

• Elf

• Home Alone

• The Grinch

• Rudolph the Red Nosed Reindeer

Tags

CCSS.RL.2.6

CCSS.RL.8.3

find y' for y=(e^5x)+1

• 5e^5x+1

• e^5x

• 5e^5x

• 1

Tags

CCSS.HSF-IF.C.8B