New posts in monotone-functions

Proving monotonicity of this ratio of Hypergeometric functions

real-analysis gamma-function interpolation hypergeometric-function monotone-functions

Splitting a continuous monotonically-increasing function $f(x)$ as $h(x)+h(x+\epsilon) = f(x)$

real-analysis continuity monotone-functions

Find all $x\in\mathbb{R}$ such that $\left( \sqrt{2-\sqrt{2} }\right)^x+\left( \sqrt{2+\sqrt{2} }\right)^x=2^x$.

algebra-precalculus exponential-function exponentiation monotone-functions

Is this function increasing in $x$?

calculus factorial monotone-functions

Why is a strictly monotonic mapping between intervals continuous?

real-analysis continuity monotone-functions

A smooth nowhere analytic function such that all derivatives are monotone

real-analysis continuity examples-counterexamples analyticity monotone-functions

Why is a bijection that preserves connectedness on $\mathbf{R}$ must be monotone?

functions connectedness monotone-functions

$f$ continuous s.t $|f|$ increasing and $|f|\le x$ then $f$ unifrmly continuous

functions continuity monotone-functions

Continuity of derivative of convex function

derivatives continuity convex-analysis monotone-functions

If $g:[0,1] \to \Bbb{R}$ such that $g(x)=g(y) \implies g'(x)=g'(y)$ for all $x,y \in (0,1)$, then $g$ is monotonic?

real-analysis alternative-proof monotone-functions

$f'=0$ on a co-countable set implies $f$ constant? [duplicate]

real-analysis calculus derivatives continuity monotone-functions

Interval of monotonicity of the function $f(x)=\frac{\ln (\pi+x)}{\ln (e+x)}$

algebra-precalculus derivatives continuity monotone-functions

From which n is this sequence monotone?

calculus sequences-and-series monotone-functions

Showing $f(kx,ky)\geq f(x,y)$

combinations factorial monotone-functions

Monotone functions and continuity

real-analysis continuity monotone-functions

If $f$ is continuous and $f'(x)\ge 0$, outside of a countable set, then $f$ is increasing

real-analysis calculus derivatives continuity monotone-functions

A function with a non-negative upper derivative must be increasing?

real-analysis derivatives examples-counterexamples monotone-functions

Complete monotonicity of a sequence related to tetration

sequences-and-series conjectures lambert-w tetration monotone-functions

The function $f (n) = (1 + 1 / n) ^ {n+1}$ is decreasing

monotone-functions

Proving monotonicity of a function $g$

real-analysis calculus monotone-functions