The video tutorial explains how to find the derivative of a polynomial function. It begins by introducing the concept of derivatives and the notation used. The instructor then demonstrates the step-by-step process of calculating the derivative of each term in the polynomial using the power rule. The tutorial concludes with the final expression of the derivative, emphasizing the importance of understanding each step in the process.

What is the derivative of x^3?

• 3x

• x^2

• x^3

• 3x^2

Which rule is used to find the derivative of x^3?

• Product Rule

• Quotient Rule

• Chain Rule

• Power Rule

What is the derivative of a constant?

• Undefined

• Zero

• One

• The constant itself

What is the derivative of -4x?

• 0

• 4

• -4x

• -4

What is the final expression for the derivative of the function x^3 - 4x + 5?

• 3x^2 + 5

• 3x^2 - 4

• 3x^2 - 4x + 5

• 3x^2