Find the derivative of inverse of a function given values

The video tutorial explains the concept of G of X as an inverse function, where input and output are swapped. It highlights the importance of understanding G prime of seven and provides a step-by-step guide to calculate it using the derivative of the inverse function. The tutorial emphasizes the relationship between G of X and its inverse, and how to find specific values using given information.

What does G(x) represent in the context of inverse functions?

• The derivative of F(x)

• The inverse of F(x)

• The square of F(x)

• The integral of F(x)

Why is G prime of 7 equal to 3?

• Because 3 is the derivative of F(x)

• Because 3 is the input of F(x)

• Because 7 is the output of F(x)

• Because the input and output are swapped in inverse functions

What is the formula used to find G prime of 7?

• 1 / F prime of 7

• F inverse of 7

• 1 / F inverse of G of 7

• G of F inverse of 7

What is the value of G of 7 in the problem?

• -10

• 10

• 3

• 7

What is the final result of the derivative calculation for G prime of 7?

• -1 / 3

• -1 / 10

• 1 / 10

• 1 / 3