Why is $e^x$ the only function that is its own derivative?
1440
Are the any non-trivial functions where $f(x)=f'(x)$ not of the form $Ae^x$
26677
thoughts about $f(f(x))=e^x$
11385
Using the Limit definition to find the derivative of $e^x$
128719
Are constants the only continuous functions with "symmetric derivative" zero?
56827
Functions that are their Own nth Derivatives for Real $n$
92627
How do we know the Taylor expansion for $e^x$ works for all $x$? Or that it's analytic?
119869
Entire function and the series of its successive derivatives
95598
Derivative of unit step function?
90325
Why use the derivative and not the symmetric derivative?
134871
Using definition of derivative to differentiate $f(x)= \sqrt{x}+1$
125774
Derivative of $a^x$ from first principles
61144
Derivative of $x^{x^{\cdot^{\cdot}}}$?
885
Why is the 2nd derivative written as $\frac{\mathrm d^2y}{\mathrm dx^2}$?
92399
Some questions about the function $xe^{-x}$
56032
How come $\frac{1}{1-x}$ and $\frac{x}{1-x}$ have the same derivative?
79024
the derivation of E(X|X)
108593
First order weak derivatives of $f(x)=|x|^r$