Okay, so I am in grade 12 calc and I was learning about e today, how the slope of the tangent at any point is also the y value at that point. What I was wondering is if there is a function that has the x value equal to the slope at any given point. I think it would look something like a parabola.(adsbygoogle = window.adsbygoogle || []).push({});

I tried to plug x in for slope to y=mx+b which results with y+x^2, but that does not have the property I am looking for. I also tried y=x^e, it doesn't work out.

Any thoughts?

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# Stuff about e

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