Find the derivative of the inverse of a trig equation

The video tutorial explains how to find the derivative G prime of X using the formula 1/F prime of G of X. It covers the importance of understanding function inverses, specifically F inverse, and how to determine input values for given outputs using trigonometric functions like cosine. The tutorial also demonstrates the process of calculating G prime of 1 by substituting values into the given functions.

What is the formula for finding G prime of X?

• F of X plus G of X

• 1 / F prime of G of X

• F prime of X

• G of X times F of X

What is the relationship between G of X and F inverse of F of X?

• G of X is the derivative of F of X

• G of X equals F inverse of F of X

• G of X is the sum of F and F inverse

• G of X is the product of F and F inverse

If F of X is X plus cosine of X, what input gives an output of 1?

• 1

• 0

• Pi

• 2

What is the result of plugging 1 into the G of X function?

• 2

• 0

• 1

• Pi

What is the sine of 0 when plugged into the F inverse function?

• Pi

• -1

• 0

• 1