Differentiating Exponential Functional Equation
65946
A function $f: \mathbb R \to \mathbb R$ satisfies equation $f(x+y)=f(x)f(y)$ for all $x,y\in \mathbb R $
35281
$1992$ IMO Functional Equation problem
85623
Proof of continuity implied by differentiability
127338
Intuitive characterization of the graph of a twice differentiable function
76458
Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$
123519
Fréchet differentiability from Gâteaux differentiability
143564
Uniform convergence of derivatives, Tao 14.2.7.
142490
Alternative proof for differentiability of inverse function?
64708
Proof that exponential function's limit definition increases monotonically?
65889
Showing $\Phi(x)=\int_0^x (x-t)f(t)\,dt$ is twice differentiable and finding $\Phi''(x)$
69187
What's my confusion with the chain rule? (Differentiating $x^x$)
122481
proof of an identity for exponential function
12726
Differentiating both sides of a non-differential equation
8659
How do you show that $e^{-1/x^2}$ is differentiable at $0$?
130253
Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
55268
Differentiable and Continuous functions on [0,1] with 'weird' conditions.
11385
Using the Limit definition to find the derivative of $e^x$