Use the constant multiple rule to find the derivative of a rational root function

The video tutorial explains how to rewrite expressions using exponents, identify constants in expressions, and calculate derivatives. It demonstrates the process of simplifying a derivative expression and provides the final answer, including a correction of an error made during the explanation.

How can the expression 1 / 2 to the X be rewritten using negative exponents?

• X to the -2/3

• X to the 2/3

• 2 to the X

• X to the 3/2

What is the first step in finding the derivative of X to the -2/3?

• Divide by the exponent

• Subtract 1 from the exponent

• Add 1 to the exponent

• Multiply by the exponent

After applying the power rule, what is the new exponent of X?

• -1/3

• -5/3

• -2/3

• -4/3

What is the simplified form of the derivative expression?

• -1/3 X to the -5/3

• 1/3 X to the -5/3

• 1/3 X to the 5/3

• -1/3 X to the 5/3

What correction was made to the final derivative expression?

• The coefficient was doubled

• The exponent was changed to positive

• The expression was moved to the numerator

• The sign of the expression was corrected to negative