Derivatives Review

Which movie was #1 in the movies this weekend?

• Maze Runner 3
• Jumanji
• Winchester
• The Post

Find dy/dx for
y = 8x⁷

• dy/dx = x⁸
• dy/dx = 7x⁶
• dy/dx = 12x⁶
• dy/dx = 56x⁶

What is the derivative of f(x) = sin x?

• f'(x) = csc x
• f'(x) = cos x
• f'(x) = tan x
• f'(x) = sin x

Where was the Super Bowl this year?

• Arizona
• New England
• Philadelphia
• Minnesota

Find dy/dx for 
y = (x² + 1)³

• dy/dx = 3(x² + 1)²
• dy/dx = 3(2x)²
• dy/dx = 6x(x² + 1)²
• dy/dx = 2x(x² + 1)²

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)
• f '(x) = 30x⁶(x⁶ + 4)

Find y' if y = tan(3x²+2).

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

What is the name of the old man in the movie Up?

• Bob Smith
• Carl Gauss
• Carl Fredricksen
• Chris Farley

d/dx (sin²x) = ?

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

Differentiate:
f(x) = x⁷ (5 + 8x)³

• f '(x) = 168x⁶(5+8x)²
• f '(x) = 24x⁷(5+8x)²+7x⁶(5+8x)³
• f '(x) = 3x⁷(5+8x)²+7x⁶(5+8x)³
• f '(x) = x⁶ (5 + 8x)³ (35 + 80x)