# What's My Favorite Transcendental Number?

**Calculus**Level 1

For a positive constant \(b\), I draw a graph of \(y = b^x\), on the first quadrant.

I noticed that the gradient of this curve at any point is equal to the value of the function itself. In other words,

\[ \dfrac{d}{dx} y = y .\]

How many possible values of \(b\) satisfy this scenario?