A calculus of the absurd
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10.4 Differentiating exponential functions
10.4.1 The derivative of \(\exp (x)\)
We can differentiate \(e^x\) (or \(\exp (x)\)) from first principles using the definition of the limit. I am pretty sure this is not on many A Level mathematics specifications.
\(\seteqnumber{0}{10.}{25}\)\begin{align} \frac {d}{dx} \left [e^x\right ] &= \lim _{h \to 0} \frac {e^{x + h} - e^x}{h} \end{align}
TODO: finish writing this section up