Unit 11 - Lesson 2 - The Derivative

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What does the limit as x approaches c represent in calculus?

• The length of a curve

• The volume of a solid

• The slope of a tangent line

• The area under a curve

Which notation is commonly used to represent a derivative?

• f prime of x

• f quadruple prime of x

• f triple prime of x

• f double prime of x

What is the derivative of f(x) = x^2 using the limit process?

• 2x^2

• x^2

• 2x

• x

When finding the derivative of f(x) = 3x^2 + 1, what is the result?

• 9x

• 3x

• 6x

• 12x

What is the derivative of f(x) = x^3 using the limit process?

• x^3

• 3x^2

• x^2

• 3x