CC Derivative Review

Which represents the same function?

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Which shows the quotient rule correctly?

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What's the graph of the derivative?

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What's the graph of the derivative?

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Given u = fg, f(2) = 3, g(2) = -3, f '(2) = 5, and g'(2) = 1,
then u'(2) = ?

• -12
• 4
• 5
• 12

Tags

CCSS.HSF-BF.A.1C

Given f (x) =  − 3x³cosx

• 3x³cosx + 9x²sinx
•  − 3x³sinx + 9x²cosx
•   3x³sinx + 9x²cosx
•  3x³sinx − 9x²cosx

Find the derivative f(x) = xe^x

• f'(x) = e^x

• f'(x) = xe^x + xe^x

• f'(x) = e^x - xe^x

• f'(x) = e^x + xe^x

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.8

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Find the derivative? ln(2x²+1)

• (4x)/(2x²+1)

• (6x)/(2x²+1)

• (8x)/(2x²+1)

• (x)/(2x²+1)