Which of the following options are true in case of a differentiable function
15032
Let $f: \Bbb R \to \Bbb R$ be a differentiable function such that $\sup_{x \in \Bbb R}|f'(x)| \lt \infty$. Then
148737
Is $|xy|$ differentiable in $(0,0)$?
31051
Is $f(x,y)=(xy)^{2/3}$ differentiable at $(0,0)$?
130322
Show that $f(x) = 0$ if $x = 0$ $f(x) = \text{exp}(-1/x^{2})$ if $x \neq 0$ is infinitely differentiable but not analytic at $x_{0} = 0$ `
139720
Are all continuous one one functions differentiable?
97146
differentiate with respect to a function
49705
Is $f(x,y)=(x+2y+y^2+|xy|, 2x+y+x^2+|xy|)$ differentiable?
144013
If $f$ is differentiable at $x = x_0$ then $f$ is continuous at $x = x_0$.
16375
Is the function differentiable at $0$?
77318
Why do we consider potential energy function $U(x)$ differentiable?
153510
Questions about the existence of a function
94193
determine whether $f(x, y) = \frac{xy^3}{x^2 + y^4}$ is differentiable at $(0, 0)$.
70361
if a complex function $f$ is real-differentiable, then $f$ or $\overline{f}$ are complex-differentiable
68752
A few questions about infinite derivative.
27888
Why is $|x|$ not differentiable at $x=0$?
35671
Why can a discontinuous function not be differentiable?
106013
Given $f(x) = x + |x|$ for what values of $x$ is $f$ differentiable