Chain Rule Practice

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)

Find y' if y = tan(3x²+2).

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

Tags

CCSS.HSF.IF.A.2

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)

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)

Tags

CCSS.HSA.APR.A.1

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

• 5e^5x+1

• e^5x

• 5e^5x

• 1

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2