CALCULUS HON MIDTERM 2022

Differentiate (2x + 2)(x - 5)⁸ with respect to x.

• (2x + 2)(x - 5)⁷ + 2(x - 5)⁸
• 8(2x + 2)(x - 5)⁷ + 2(x - 5)⁸
• 2(x - 5)⁸
• 16(x - 5)⁷

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• 
• 
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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)

What is the limit?

• DNE
• Infinity
• 6
• 12

• ∞
• DNE
• 3
• 1

• 13
• 7
• 6
• -3

• 3
• 1
• Infinity
• Does not exist

What is the limit of the function as x approaches 1 from the right?

• DNE
• 1
• 4
• -2