# Inverse Functions and Gradients

## Explore

Use the interactivity above to explore different functions and their inverses.
Often the method we use to find inverses begins with swapping x and y in the equation. Geometrically this is a reflection in the line y=x which swaps the x and y axes.
Is the inverse function always the same as the reflection?
If not why not?
Enable the tangents and their reflection.
What is the numerical relationship between and ?

## Challenge

Can you use the relationship
to find derivatives of the following functions?
, ,

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