benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Is there a strictly increasing function f:R→R such that f'(x) = f(f(x)) for all x?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Is there a strictly increasing function f:R→Rf: \mathbb{R} \to \mathbb{R} such that $f'(x) = f(f(x))$ for all xx?
Plain-text mathematical notation (without MathML)
Is there a strictly increasing function f:R→R such that $f'(x) = f(f(x))$ for all x?
Original LaTeX notation
Is there a strictly increasing function $f: \mathbb{R} \to \mathbb{R}$ such that $f'(x) = f(f(x))$ for all $x$?

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
0dee9a10-9788-5e7a-8de7-b3ccaafa7824
task_key
test--0dee9a10-9788-5e7a-8de7-b3ccaafa7824
task_revision_id
1
config / split
/ test

Official source

initial import