Learn how to determine the derivative of a reciprocal function

The video tutorial explains the concept of negative exponents and how they can be rewritten in positive form. It demonstrates the process of finding the derivative DY over DX by applying the power rule, which involves bringing the exponent in front and reducing it by one. The tutorial also covers simplifying expressions with negative powers and concludes with a recap of the key points discussed.

What is the equivalent expression for X to the negative N?

• 1 over X to the negative N

• X to the N squared

• 1 over X to the N

• X to the N

If you have 1 over X to the negative N, what is the simplified form?

• 1 over X to the N

• 1 over X to the N squared

• X to the negative N

• X to the N

When finding DY over DX, what is the first step if the expression is X to the negative second power?

• Add 1 to the exponent

• Rewrite as X to the positive second power

• Bring the negative exponent in front

• Multiply by 2

What is the result of applying the power rule to X to the negative second power?

• -2 X to the negative third

• 2 X to the third

• -2 X to the second

• 2 X to the negative third

How do you make a negative power in the numerator positive?

• Add 1 to the exponent

• Multiply by -1

• Square the expression

• Move it to the denominator