Revision as of 16:18, 22 July 2024 edit Twotwice (talk \| contribs) Extended confirmed users 2,307 edits →Inverses and derivatives: add a necessary word for the hypotheses of the theorem to hold ← Previous edit		Revision as of 00:52, 23 August 2024 edit undo Twotwice (talk \| contribs) Extended confirmed users 2,307 edits →Inverses and derivatives: this is not the statement of the inverse function theorem; adjusted wording to make this more precise Next edit →
Line 191: ===Inverses and derivatives=== ~~The~~By the [[inverse function theorem]] ~~states that~~, a [[continuous function]] ~~{{mvar\|~~of a single variable <math>f\colon A\to\mathbb{R}</math> (where <math>A\subseteq\mathbb{R}</math>) is invertible on its range (image) if and only if it is either strictly [[monotonic function\|increasing or decreasing]] (with no local [[maxima and minima\|maxima or minima]]). For example, the function : <math>f(x) = x^3 + x</math>

Inverse function: Difference between revisions