Is $g$ differentiable in $0$?
30204
Prove that $f'(0)$ exists and $f'(0) = b/(a - 1)$
147299
Prove that $g(x,y) = \frac{x^3y}{x^2+y^2}$ with $g(0,0)=0$ is continuous
140259
Find the value of $g'(0)$.
113385
Example of $f,g: [0,1]\to[0,1]$ and Riemann-integrable, but $g\circ f$ is not?
68973
Is the determinant differentiable?
127114
Differentiability implying continuity
130748
Infinitely differentiable function with given zero set?
59956
Show that the function $g(x) = x^2 \sin(\frac{1}{x}) ,(g(0) = 0)$ is everywhere differentiable and that $g′(0) = 0$
61481
Continuously Differentiable Curves in $\mathbb{R}^{d}$ and their Lebesgue Measure
134122
When is differentiating an equation valid?
93528
Continuous versus differentiable
89421
Does $\int_{1}^{\infty} g(x)\ dx$ imply $\lim\limits_{x\to \infty}g(x)=0$?
21198
Proving that the general linear group is a differentiable manifold
75932
Differentiability of $g:=f(\sqrt{x^2+y^2})$ for a $C^1$ function with $f'(0)=0$ NBHM $2008$
145173
$f: \mathbb{R}^2-\{0\} \rightarrow \mathbb{R}$ is continuously differentiable and $f(\alpha x) = \alpha^2f(x)$, then $x \cdot \nabla f(x) = 2 f(x)$
11319
Is $M=\{(x,|x|): x \in (-1, 1)\}$ not a differentiable manifold?
49587
Does a differentiable everywhere function have a continuous derivative?