How to use the chain rule of the reciprocal function

The video tutorial explains how to identify inside and outside functions, calculate derivatives, and apply the chain rule. It begins with defining functions F of X and G of X, then moves on to derivatives and rewriting expressions. The chain rule is applied by substituting G of X into F prime, leading to the final answer for H prime of X. The tutorial concludes with a summary of the process.

What is the inside function G(x) as described in the video?

• x + 13

• x - 13

• x * 13

• x / 13

How is the derivative of F(x) expressed in the video?

• 1 / x^2

• -1 / x^2

• x^2 / -1

• -1 / x

What mathematical rule is applied when plugging G(x) into F prime?

• Product Rule

• Quotient Rule

• Chain Rule

• Power Rule

What is the final expression for H prime of X?

• 1 / (X + 13)^2

• X + 13

• -1 / (X + 13)^2

• -1 / (X + 13)

In the final expression for H prime of X, what operation is performed on X + 13?

• Multiplication

• Exponentiation

• Subtraction

• Addition