Derivatives! Chapter 3

the first derivative of f(x) = 3x²

• f'(x)=3x

• f'(x)=3x²

• f'(x)=6x

• f'(x)=6x²

the value of the first derivative of a function tells you the

• slope of the tangent line

• the equation of the tangent line

• the maximum of the function

• where the function is undefined

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

4

• A
• B
• C
• D

y' =

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Find f'(x)

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Derive

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What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

What is the derivative of tan(x)?

• -sec²(x)
• -csc²(x)
• sec²(x)
• csc²(x)