How do I show $x^2 \sin (\frac{1}{x})$ is differentiable?
31685
Differentiability of $f(x) = x^2 \sin{\frac{1}{x}}$ and $f'$
9270
Differentiable function, with $f'(x)=[f(x)]^2$
46642
Continuity of $\sin(x)/x$
121848
If $f(x)=\begin {cases} x^a\sin (1/x) & x\not =0 \\ 0 & x =0 \end {cases}$ is continuous but not differentiable at $x=0$ find $a$
19828
Show that $\frac{x^3}{x^2+y^2}$ is not differentiable at $(0,0)$, even though all directional derivatives exist
68538
Show that if $ A(t) \in \mathbb{R ^{n×n}}$ is a differentiable function of $t$ then $\frac{d(det A(t))}{dt}$
27888
Why is $|x|$ not differentiable at $x=0$?
40549
How to proof the the derivative of $x^2$ is $2x$?
43956
Differentiating $f(x)^{g(x)}$
13612
Show the existence of a complex differentiable function defined outside $|z|=4$ with derivative $\frac{z}{(z-1)(z-2)(z-3)}$
40235
How would I differentiate $\sin{x}^{\cos{x}}?$
124346
Where is $f(z)=\Re (z)$ differentiable?
87613
Infinitely differentiable functions: how to prove that $e^\frac{1}{x^2-1}$ has derivative of any order?
30533
Showing that this function is infinitely differentiable
94244
$\sin \frac{1}{x}$ is not uniformly continuous on $[1, \infty]$
75932
Differentiability of $g:=f(\sqrt{x^2+y^2})$ for a $C^1$ function with $f'(0)=0$ NBHM $2008$
59911
Looking for help with a proof that n-th derivative of $e^\frac{-1}{x^2} = 0$ for $x=0$.