Derivative Rules Practice

What is the derivative of a constant, C?

• C
• 1
• 0

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Tags

CCSS.HSA.APR.A.1

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.SSE.A.1

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

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)⁴

Find the derivative of the given equation
g(x) = 6 + ⅔x

• 6
• 12
• 6 + ⅔
•  ⅔

Tags

CCSS.HSF.IF.A.2

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

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-3

Tags

CCSS.HSA.APR.D.7

Differentiate y=(3x⁴ - 7)(5x² + 1)

• (12x³)(10x)

• (3x⁴ - 7)(10x) + (12x³)(5x² + 1)

• (3x⁴ - 7)(10x) - (12x³)(5x² + 1)

• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)