Calculus Midterm Practice

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Evaluate

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f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

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Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the first derivative of the function.

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Calculate the derivative using the product rule

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The derivative of 

• y'=2x-x^-2
• y'=x^-1+8x
• y'=x^-2+8x
• y=8x-x^-2

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• e^(2x)
• (x^2-2)e^(2x)
• 2xe^(x^2-2)
• (2x-2)e^(x^2-2)

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²