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Invertible Conditions in Polynomial Rings

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#ring-theory #inverse-function
186
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Prove that if $f^{(k)}(f^{-1}(x))$ exists, and is nonzero, then $(f^{-1})^{(k)}(x)$ exists.

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#calculus #derivatives #solution-verification #inverse-function
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What is the inverse of $G: (x,y) \rightarrow (x, 1-ye^x+xe^y)$

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#real-analysis #multivariable-calculus #inverse-function
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How to inverse the function $\frac13e^x+\ln(3x+1)$

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#logarithms #inverse-function
74
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studying for clep calculus exam inverse functions and derivates

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#calculus #inverse-function
66
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Series expansion at branch cut

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#asymptotics #inverse-function #branch-cuts
71
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Finding a general form of the inverse of a function

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#inverse #inverse-function
129
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Proving that if $y=\operatorname{arcsec}(x)$ then $\frac{dy}{dx}=\frac{1}{x\sqrt{x^2-1}}$

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#calculus #derivatives #trigonometry #inverse-function
154
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Which kinds of rational functions of one variable have an inverse relation that contains a branch that is a rational function?

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#algebra-precalculus #polynomials #inverse-function #elementary-functions
244
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Restricting Domain and Range in Inverse Trigonometric Function

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#trigonometry #inverse-function
41
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Need help on understand a question on inverse functions

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#calculus #inverse-function
168
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The axiom of choice for a category

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#category-theory #order-theory #axiom-of-choice #inverse-function #epimorphisms
29
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$\mathcal{B}$ an algebra $\implies f^{-1}(\mathcal{B}) $ an algebra

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#measure-theory #inverse-function #algebras
80
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Evaluating $\sec(\tan^{-1}\sqrt3)$ exactly

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#trigonometry #inverse-function
235
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Why can inverse functions be determined by manipulating equations?

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#calculus #inverse-function

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