The video tutorial explains the constant multiple rule in calculus, which allows a constant to be factored out when taking derivatives, similar to limits. It provides an example of calculating the derivative of a constant and explains why X to the zero power equals one. The tutorial concludes with a summary of key rules, emphasizing that the derivative of a constant is zero.

What is the constant multiple rule in calculus?

• A rule that allows you to factor out constants when taking derivatives.

• A rule that allows you to multiply constants with derivatives.

• A rule that allows you to add constants to derivatives.

• A rule that allows you to divide constants in derivatives.

What is the derivative of a constant function?

• The constant times x.

• Zero.

• The constant divided by x.

• The constant itself.

If you have a function f(x) = 5, what is its derivative?

• x

• 1

• 5

• 0

How do you handle the derivative of a constant times a linear term?

• The derivative is the constant itself.

• The derivative is zero.

• The derivative is the linear term itself.

• The derivative is the constant times the derivative of the linear term.

What happens when you multiply zero with any number in derivatives?

• It becomes one.

• It becomes the number itself.

• It becomes negative.

• It becomes zero.