Calculus Derivatives Practice

Differentiate cos(1-3x)

• -sin(1-3x)

• -3cos(1-3x)

• 3sin(1-3x)

• -3cos(1-3x)sin(1-3x)

Differentiate sin(2x-2)

• 2cos(2x-2)

• cos(2x-2)

• 2sin(2x-2)cos(2x-2)

• 2sin(2x-2)

Differentiate x²cos2x

• 2xcos2x+2x²sin2x

• 2xcos2x-2x²sin2x

• 2xsin2x

• 2x²sin2xcos2x

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

• A

• B

• C

• D

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

• 6
• 12
• 6 + ⅔
•  ⅔

Tags

CCSS.HSF.IF.A.2

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

• 1 - 2x
• -2x
• -2
• -1

Derive                y=3x²-4x+2

• 6x-6
• 6x-2
• 4-6x
• 6x-4

Tags

CCSS.HSF-LE.A.1B

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3