Chain Rule #1

Differentiate:
f(x) = x⁷ (5 + 8x)³

• f '(x) = x² (5 + 8x)⁶ (35 + 80x)
• f '(x) = x⁶ (5 + 8x)² (35 + 80x)
• f '(x) = 8x⁷ (5 + 8x)² (35 + 80x)
• f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

Find the derivative. 
g(x) = sin(cos²4x)

• -8cos(cos²4x)sin4xcos4x
• -8cos(cos²4x)sin4x
• -4cos(cos²4x)sin4x
• 8cos(cos²4x)sin4xcos4x

Find y' if y = tan(3x²+2).

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

• A
• B
• C
• D

• A
• B
• C
• D

Find the derivative of y=sin³(x² - 3x)

• (6x - 9)sin²(x² - 3x)
• (6x - 9)cos(x² - 3x)
• (6x - 9)sin²(x² - 3x)cos(x² - 3x)
• (6x - 9)sin(x² - 3x)

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)