# 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?

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