Use the power rule to find the derivative with the variable in the denominator

The video tutorial explains how to simplify mathematical expressions, focusing on rewriting expressions using derivatives. It provides a step-by-step example, showing the process of simplifying and rewriting expressions, and concludes with a final calculation. The tutorial aims to clarify the steps involved in simplifying expressions and understanding the use of derivatives in this context.

What is the simplified form of 4 / 2 X cubed?

• 8X^3

• X^3

• 4X^3

• 2X^3

How is the expression D over DX of 4 / 1 simplified?

• 1/2 X to the third

• 4 X to the negative third

• 1/2 X to the negative third

• 2 X to the third

What is the result of applying the derivative rule to 1/2 X to the negative third?

• 3/2 X to the negative fourth

• 3/2 X to the fourth

• -3/2 X to the negative fourth

• -3/2 X to the fourth

What operation is performed after bringing down the exponent in the derivative?

• Adding one

• Multiplying by two

• Subtracting one

• Dividing by two

What is the final simplified form of the expression after applying the derivative rules?

• 3/2 X to the negative fourth

• 3/2 X to the fourth

• -3/2 X to the negative fourth

• -3/2 X to the fourth