Why can we not just use the chain rule to derive $f(x) = x^x$?
69187
What's my confusion with the chain rule? (Differentiating $x^x$)
107572
How does the derivative with respect to the complex conjugate even make sense?
131769
How to derive this second derivative using the quotient rule?
18201
Why isn't the derivative of $e^x$ equal to $xe^{(x-1)}$?
30781
Why the representation in the form of $Z'X(X'X)^{-1}X'Z$ can not be simplified into $Z'Z$
69010
Is there a way to evaluate the derivative of $x$! without using Gamma function?
58456
Why is $ 1^{\infty} \not= \lim_{t \to \infty} 1^t = 1$?
4735
Proof for alternative definition of the derivative
119907
Finding the Derivative of |x| using the Limit Definition
108593
First order weak derivatives of $f(x)=|x|^r$
62067
Inverse function of $x^x$
32599
Solution to the functional equation $f(x^y)=f(x)^{f(y)}$
24307
Is $x^x=y$ solvable for $x$?
115712
Application of Derivatives rigorous proof
90325
Why use the derivative and not the symmetric derivative?
102013
The derivative of $e^x$ using the definition of derivative as a limit and the definition $e^x = \lim_{n\to\infty}(1+x/n)^n$, without L'Hôpital's rule
158610
Why is the differentiation of $e^x$ is $e^x$?