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If $(f ∘ f)$ is differentiable, is $f$ also differentiable?
calculus
functions
derivatives
function-and-relation-composition
Is that true that not every function $f(x,y)$ can be writen as $h(x) g(y)$? [closed]
functions
Characterization of continuous functions with the property $f(x) = f\left(\frac{x}{1-x}\right)$ [closed]
real-analysis
functions
continuity
functional-equations
how to prove that this function is not injective
functions
Olympiad-style question about functions satisfying condition $f(f(f(n))) = f(n+1) + 1$
elementary-number-theory
functions
Why is the argument on the right?
functions
soft-question
notation
math-history
convention
When is the derivative of $f(g(x))$ equal to $g(f'(x))$?
real-analysis
functions
derivatives
chain-rule
$f$ continuous s.t $|f|$ increasing and $|f|\le x$ then $f$ unifrmly continuous
functions
continuity
monotone-functions
Find the range of $y = \sqrt{x} + \sqrt{3 -x}$
functions
"A Function Can't Be Odd&Even" They said, Right? [duplicate]
functions
determine whether $f(x, y) = \frac{xy^3}{x^2 + y^4}$ is differentiable at $(0, 0)$.
calculus
multivariable-calculus
functions
derivatives
Misleading Definitions and Unanswerable Problems in Spivak's Calculus
functions
elementary-set-theory
definition
$f(nx)\to 0$ as $n\to+\infty$
real-analysis
limits
functions
A strange bijection without fixed points
combinatorics
functions
discrete-mathematics
ergodic-theory
What happens to a function when it is undefined?
algebra-precalculus
functions
How to prove $1+x \leq e^x~\forall x \in \mathbb{R}?$
functions
exponential-function
Is the set of surjective functions from $\mathbb{N}$ to $\mathbb{N}$ uncountable?
elementary-set-theory
functions
Can $f(x)=\frac{1}{\frac{1}{x}}$ always simplify to $f(x)=x$? Is f(0) = 0 or undefined? [duplicate]
functions
real-numbers
infinity
Is $\frac{1}{\frac{1}{x}}$ defined at $x=0$?
functions
real-numbers
infinity
Functions with $\mathrm s(x)^n+ \mathrm c(x)^n \equiv 1$
integration
functions
indefinite-integrals
special-functions
functional-equations
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