In accordance with normal procedures, previously addressed topics are once again reflected on in this entry. Directly below, the derivative of e^x is dealt with from the perspectives of slope fields and differential equations. Beneath that, the derivative of e^x is considered as a Taylor Series.

**Slope Field**

**Taylor Series**

It is easy for high school students to determine that **dy/dx = y **for the Taylor Series representation of e^x above. This sets the stage very nicely for an exploration into power series which, in turn, lead directly to some other very cool “discoveries”. Follow the link provided for a more conventional extraction of the derivative of e^x.

Thanks for reading.

Reference

Courant, Richard., John, Fritz (1999). * Introduction to Calculus and Analytics: Classics of Mathematics.* New York, NY: Springer-Verlag Berlin Heidelberg.

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