Find the derivative using the power rule

The video tutorial explains how to simplify expressions and apply the power rule to find derivatives. It starts with rewriting terms to make them easier to differentiate, then demonstrates the application of the power rule to derive the final expression. The process involves converting terms to a suitable form for differentiation and simplifying the result.

What is the first step in simplifying the expression X / X^2?

• Divide by 2

• Multiply by X

• Rewrite as DRDX of 1/2 to the X

• Add X to both sides

How is the expression 1/2 X rewritten to apply the power rule?

• As X/2

• As 1/2 X to the negative first power

• As 1/2 X to the first power

• As 1/2 X^2

What is the purpose of rewriting X to the first in the denominator?

• To make it easier to add

• To convert it to a negative power in the numerator

• To simplify multiplication

• To eliminate the variable

What is the result of applying the power rule to 1/2 X to the negative first power?

• 1/2 X^2

• -1/2 X

• 1/2 X

• -1/2 X^2

What does the power rule help to find in this context?

• The integral of the expression

• The original function

• The derivative of the expression

• The limit of the expression