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Variant of inverse function theorem

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#inverse #inverse-function #inverse-function-theorem
49
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Inverse Function Theorem applied to two open sets

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#real-analysis #inverse-function #inverse-function-theorem
148
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Give example(s) where all roots of $f(x)=f^{-1}(x)$ do not lie on $y= x$ or $y=-x$

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#functions #inverse-function
62
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Finding when a function has an inverse function

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#functions #derivatives #inverse-function
140
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Show that $x^7 + 5x^5 + 2x - 2$ has an inverse $g(x)$ and compute $g'(-2)$.

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#derivatives #inverse-function
42
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Basic Set Theory and Functions, Injectivity of Inverse, Is this a mistake by the Professor?

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#elementary-set-theory #inverse-function
59
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How was the algebraic manipulation in this proof done?

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#derivatives #inverse-function
112
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Suppose $f=f^{-1}$. Does that imply that $f=id_E$?

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#abstract-algebra #functions #proof-writing #inverse-function #function-and-relation-composition
142
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How to algebraically derive the inverse of $x + e^x = y$?

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#inverse-function #lambert-w
69
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pdf transformation of periodic scalar random variables related by a derivative

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#probability-distributions #transformation #inverse-function #periodic-functions #inverse-function-theorem
53
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Differentiability and Inverse Function

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#derivatives #inverse-function
29
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sequence of abscissas x corresponding to equispaced points on any function

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#asymptotics #inverse-function #arc-length
30
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How to remove a hyperbolic trignometric function from an equation

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#trigonometry #exponential-function #inverse-function #hyperbolic-functions
50
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When is $\int_{x_1}^{x_2} [f(x)-f^{-1}(x)]dx = 2\int_{x_1}^{x_2} [f(x)-x] dx, ~\text{if}~ f(x)>f^{-1}(x) \forall x \in [x_1,x_2] ?$

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#integration #definite-integrals #inverse-function
40
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Theorem Addressing inverse functions for $f : \mathbb{R}^m \to \mathbb{R}^n$ when $m > n$, $m < n$, and $m = n$

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#real-analysis #general-topology #inverse-function

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